How do you find the base of an isosceles triangle with legs?

Answers

Answer 1

We can find the base of the isosceles triangle with legs using the formula:

2 × sqrt ((hypotenuse) ^ 2 - (altitude)^2) = base

Let us assume that the leg of the isosceles triangle is 'h' and one side is 'a'. Let the base be 'x'.

As there is a leg (altitude) in the isosceles triangle, then it forms a right triangle in the isosceles triangle, such that the sides form the hypotenuse.

Therefore, by using the Pythagoras' theorem,

hypotenuse ^ 2 = (altitude)^2 + (base / 2)^2

Hence, we get the base by deriving this expression from the above formula:

2 × sqrt ((hypotenuse) ^ 2 - (altitude)^2) = base

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Related Questions

Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill , 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp?​

Answers

Answer: 2/75:)

Step-by-step explanation:

PLS HELP ME

What would the measure of the third angle
equal?

Answers

Answer:

55

Step-by-step explanation:

180−43−82=55(angles of a triangle add upto 180)

What would the measure of the third angle equal?

Well given that all 3 vertices of a triangle are supposed  to be a sum of 180*

Hence this information side E is 82* and side H is 43* and when added up they equal 125 so then you would subtract 180 - 125 =  55\

Therefore, side T = 55*

What is 2x^3 if x=3?

Answers

Answer:

2^3 when x=3

2*3^3

6^3

6*6*6

36*6

=192

Step-by-step explanation:

Mrs. Monaco made 144 cookies. She decides to bring 105 of them to school to share with her students, and the rest she will keep at home to eat. What percentage of the cookies did she bring to school to share with students? Round your answer to the nearest tenth.

Show all your work.

Answers

Answer:

40 is ur answer

Step-by-step explanation:

144-105=39

39 written as a percentage is 39%

39% rounded to nearest tenth is 40

Answer:

dhchdhduc

Step-by-step explanation:

help with all pleas
1. what is 3% of 84
2. 378 is what percent of 450
3. 8 is what percent of 128

Answers

Answer:

Hello There!!

Step-by-step explanation:

1. 2.52

2. 84

3. 6.25

hope this helps,have a great day!!

~Pinky~

The speed of a truck, s, must be no less than 34 miles per hour.

Answers

Answer:

s = ≥34

Step-by-step explanation:

The speed of the  truck, s, must be no less than 34 miles per hour

is s ≥ 34.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, The speed of a truck, s, must be no less than 34 miles per hour.

Therefore, The speed of the truck must be greater than or equal to 34 miles per hour.

So, The inequality that represents this context is,

s ≥ 34.

learn more about inequalities here :

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HELPP PLSSS I WILL GIVE YOU BRAINIEST PLSS THIS IS MY THIRD TIME POSTING PLS HELP MEE What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(3,9) (1,1)

Answers

Answer:

the slope of the line is

4

Answer:

1/4

Step-by-step explanation:

From 1 to 3 is two that is the ride of the slope and the run is from 1 to 9 witch is 8 and that means 2/8 but you can minimize the fraction to 1/4

Madeline wants to buy a car. The maximum loan she can get from the bank is
$14, 415. If Madeline has $1,085 available to make a down payment, what is the
highest valued car she can purchase?

Answers

Answer:

She can buy a 12000$ car

--heart if helped or brain me ;3--

PLEASE HELP MEEE !!!!

Answers

Given:

The figure of a trapezium.

To find:

The measures of missing angle [tex]m\angle K, m\angle M[/tex].

Solution:

In the given figure [tex]JK\parallel ML[/tex].

If a transversal line intersect the two parallel lines, then the same sides interior angles are supplementary angles.

[tex]m\angle J+m\angle M=180^\circ[/tex]         (Supplementary angles)

[tex]87^\circ+m\angle M=180^\circ[/tex]

[tex]m\angle M=180^\circ-87^\circ[/tex]

[tex]m\angle M=93^\circ[/tex]

Similarly,

[tex]m\angle L+m\angle K=180^\circ[/tex]         (Supplementary angles)

[tex]51^\circ+m\angle K=180^\circ[/tex]

[tex]m\angle K=180^\circ-51^\circ[/tex]

[tex]m\angle K=129^\circ[/tex]

Therefore, [tex]m\angle M=93^\circ[/tex] and [tex]m\angle K=129^\circ[/tex].

Please help with this problem.

Answers

Answer:

d = 28

r = 14

r² = 196

C = 87.92

Step-by-step explanation:

Given:

r = 14

To find diameter:

d = 2r

d = 2(14)

d = 28

To find r²:

14²

196

Circumference:

C = 2πr

C = 2(3.14)(14)

C = 87.92

The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent the larger number and y represent the smaller number. Which equations represent this situation?

Answers

Answer:

y= -x

y= 3/2 -5

Step-by-step explanation:

The sum of two numbers is zero.

x + y = 0

y = -x

Twice the smaller number subtracted from 3 times the larger number is 10.

Let x represent the larger number and y represent the smaller number.

Twice the smaller number: 2y

3 times the larger number: 3x

Twice the smaller number subtracted from 3 times the larger number is 10.

3x - 2y = 10

-2y = -3x + 10

y = 3/2 x - 5

The equations are:

y = -x

y = 3/2 x - 5

Hope I helped (p.s. maybe brainliest)

Answer:

A )

y = -x

y = 3/2 x - 5

Step-by-step explanation:

trust me

ginger paid 7.50 for 2 pounds of fish. how much did she pay per pound?

Answers

Answer:

$3.75 per pound

Step-by-step explanation:

7.50/2 =3.75

Hope this helps!!

Answer:

3 3/4

Step-by-step explanation:

she paid 3 3/4 because 7.50 ÷ 2 is 3 3/4

1. Paula has x cups of food in a container to feed her dogs. She pours 1.5 cups of food into their bowls. There is now 5.25 cups left in the container. Which equation would be used to solve this problem?

a. 1.5 - x = 5.25
b. 5.25 - x = 1.25
c. x - 1.5= 5.25
d. x + 1.5= 5.25


2. A box of donuts cost $9. You want to send donuts to the local nursing home. Set up an equation to find how many boxes you can send if you have $72.

a. 72 = 9 + b
b. 72 = 9 - b
c. 72 = 9b
d. 72 = 9/b


3. Jordan is purchasing a board to build a bookcase. He wants to divide the board into 1.75 foot sections and he needs 6 sections. Which equation can be used to solve this problem?

a. b/1.75 = 6
b. 1.75b = 6
c. b - 1.75 = 6
d. b + 1.75 = 6

Answers

1.D
2.C
3.B
If you need to know the amount let me know.

Can someone please help me I’ll give brilliant thingy

Answers

Answer:

Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.

Step-by-step explanation:

For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.

In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.

To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.

9/6 = 3/2

12/8 = 3/2

15/10 = 3/2

Alternatively:

6/9 = 2/3

8/12 = 2/3

10/15 = 2/3

Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.

Given that both conditions are satisfied, then we can say these triangles are similar.

Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.

Cheers.

HURRY ITS A TIME TEST!!

Which of the following sets of three side lengths determine no triangle?
2 feet, 2 feet, 3 feet
2.5 feet, 3.5 feet, 6.5 feet
4.1 feet, 5.2 feet, 6.3 feet
5 feet, 7.4 feet, 12 feet

Answers

Answer:

https://www.cbsd.org/cms/lib010/PA01916442/Centricity/Domain/2623/Similar%20Figures%20Worksheet%202%20answer%20key.pdf

Step-by-step explanation:

Find the GCF of
[tex] {6x}^{4} - {24x}^{3} [/tex]

Answers

Here ya go
Math.way is the way to go ^v^
Hope ya have a good one

five more than the product of 9 and a number u

Answers

Answer:

9u + 5

Step-by-step explanation:

five more than the product of 9 and a number u. i.e.,

(9 × u) + 5

9u + 5

-TheUnknownScientist

Answer:

5 more than means + 5

and it is saying product of the no u with 9 so 9u

9u +5

Find the area of the figure to the nearest tenth.
165 7 in

Answers

Answer:

141.1 in

Step-by-step explanation:

r^2*theta

7^2*165pi/180

141.1

Answer:

Step-by-step explanation:

Do you need to simplify 3/12?

Answers

Answer: Yes

You still need to simplify 3/12 because it is not in its MOST simplified form.

3/12 can be simplified to 1/4 by dividing 3.

on the grid draw the graph of x+2y=7 for values of x between -2 and 3

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

which graph has the equation y=2/3x ?

Answers

Answer:

No that is not the graph for that equation The graph for it would be.

Step-by-step explanation:

Answer:

The graph in the picture has the following function: y=3/2x

look attachment for the graph of y=2/3x

pls help me with this :/. this is due in like 5 mins!!! (i’ll mark brainiest if u don’t leave a link just pls help me!)

Answers

Photic zone: seaweeds and corals live here

aphotic zone: mid-ocean level where no light reaches

deep ocean floor: animals that glow are found here

Hope this helped!

Answer:

deep ocean floor - animals that glow are found here

photic zone - seaweeds and coral live here

aphotic zone mid-ocean level where no light reaches

Step-by-step explanation:

I rly hope this helps!! :D

HELP PLEASE!!!What is the measure of /_BAC?
50°
80°
100°
130°

Answers

Answer:

<BAC = 80

Step-by-step explanation:

All triangle angles equal 180

<BAC = x

x + 50 + 50 = 180

x + 100 = 180

x = 180 - 100

x = 80

HELP ME WITH LINEAR RELATIONSHIPS MATH PLEASE !!’

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

Pick two points on the graph. Points (-4, 3) and (4, 1).

[tex]\frac{x_{2} - x_{1} }{y_{2} - y_{1} }[/tex]

[tex]\frac{3-1}{-4-4}[/tex]

= [tex]-\frac{1}{4}[/tex]

Slope is [tex]-\frac{1}{4}[/tex].

The y-intercept is the point where the line intersects the y-axis. In this case, it's (0, 2). So +2.

y = -1/4x + 2

A telephone pole casts a 32-foot shadow, while a street sign next to the pole casts a 12-foot shadow. If the
telephone pole is 40 feet tall, what is the height of the street sign?
12

Answers

Answer: The height of street sign = 15

Step-by-step explanation:

At the same time, the angle made by the light on each object is the same.

Pole and street sign both standing vertical to the ground.

So triangle made by both of them are similar

The sides of similar triangles are proportional,

[tex]\dfrac{\text{height of street sign}}{\text{height of pole}}=\dfrac{\text{Length of the shadow made by street sign}}{\text{Length of the shadow made by pole}}\\\\\dfrac{\text{height of street sign}}{40}=\dfrac{12}{32}\\\\\text{height of street sign}=\dfrac{12}{32}\times40=15[/tex]

Hence, the height of street sign = 15

Which of the following is equivalent to log 2 (c)⋅log c (2)

Answers

Answer:

1

Step-by-step explanation:

According to law of indices

log a b = 1/ log b a

hence log c (2) = 1/log 2 (c)

log 2 (c)⋅log c (2)

=  log 2 (c)⋅ 1/log 2 (c)

= log 2 (c)/log 2 (c)

= 1

Hence the required answer is 1

Write 1 specific conditional statement of your
realizations from the pandemic that is happening
today. Then, write the other forms of it namely:
CONVERSE, INVERSE and CONTRAPOSITIVE.

Answers

Answer:

Plzzzz answer fastPlzzzz answer fast......

‼️ PLEASE HELPPPP ‼️

Answers

Answer:

not sure if im right cause its blurry but the first one is 10 the 2nd one is 15

Step-by-step explanation:

i think its blurry tho

A 9-foot (ft) ladder and a 4-foot ladder are leaning against a house. The two ladders create angles of the
same measure with the ground. The 4-foot ladder has a height of 3.8 feet against the house.
Help please!!

Answers

Answer:

The 9-foot ladder would have a height of 8.55 ft against the house

Step-by-step explanation:

The angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.

The situation forms a right angle triangle.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonpometric ratios.

Therefore, the 9 foot and the 4 foot ladder forms the same angle.

The 4 foot ladder forms a 3.8 ft height against the wall.

Hence,

sin ∅ = opposite/ hypotenuse

sin ∅ = 3.8 / 4

∅= sin⁻¹ 0.95

∅ = 71.8051276612

∅ = 71.8°

Therefore, the angles made by the 9-foot ladder and 4-foot ladder that are leaning against the house is 71.8 degrees.

learn more on right triangle here: https://brainly.com/question/22894739

$25.00 With a 10% discount. $27.00 With a 20% discount. $26.00 Whit a 15% discount. Witch one is cheaper?

Answers

Answer:

i think its $27.00 with a 20% discount

Step-by-step explanation:

$25 with a 10% discount is $22.50, $26 with a 15% discount is $22.10, and $27 with a 20% discount is $21.60. Therefore the cheapest option is $27.00 with a 20% discount.

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