How do you prove the equilateral triangle theorem?

Answers

Answer 1

The equilateral triangle theorem states that in an equilateral triangle, all sides are equal in length and all angles are equal in measure (60 degrees).

How to prove the triangle theorem?

The equilateral triangle theorem states that in an equilateral triangle, all sides are equal in length and all angles are equal in measure (60 degrees).

To prove this theorem, we can use the following steps:

1. Draw an equilateral triangle and label the sides as a, b, and c.

2. Use the definition of an equilateral triangle to state that all sides are equal in length, which means a = b = c.

3. Use the definition of an equilateral triangle to state that all angles are equal in measure, which means all angles are equal to 60 degrees.

4. Use the properties of a triangle to show that the sum of the interior angles of a triangle is 180 degrees.

5. Substitute the values for the sides and angles of the equilateral triangle into the formula for the sum of the interior angles of a triangle:

a + b + c = 180 degrees.

6. Simplify the equation by substituting the equal values of a, b, and c:

3a = 180 degrees.

7. Divide both sides of the equation by 3 to find the value of a:

a = 60 degrees.

8. Since a represents the measure of each angle in the equilateral triangle, this proves that the measure of each angle in an equilateral triangle is 60 degrees.

This proof demonstrates that the equilateral triangle theorem is true for all equilateral triangles.

Learn more about equilateral triangle theorem on:

https://brainly.com/question/16694768

#SPJ1


Related Questions

-4x = -28
I need an answer...

Answers

Answer:

x = 7

Step-by-step explanation:

-4x/-4 = -28/-4

x = 7

A second recipe calls for 2/3 cup of sugar for every 1/2 teaspoons of vanilla. What is the unit rate of cups per teaspoon?

Answers

Answer: The answer is 4/3 the original answer is 1 and 1/3 but if you simplify it you get 4/3

-hopes this helps<3

Step-by-step explanation:

A computer store changed the price of a laptop. It was originally $900, but now it is $1,100.Find the percent of change

Answers

Answer:

The percent of change is 22.22%.

Step-by-step explanation:

You can calculate the percent of change by subtracting the original number from the final number and dividing that by the original number. Then, you have to multiply the result for 100:

percent of change=((1,100-900)/900)*100

percent of change=(200/900)*100

percent of change=22.22%

According to this, the answer is that the percent of change is 22.22%.

A magazine has 96 pages. There are advertisements on 75% of the pages. How many of the magazine’s pages do not have advertisements

Answers

To get this you multiply 96 x .75 which gives you 72. 72 is the amount of advertising pages so subtract 96-72 which gives 24. So it’s 24 pages that are not advertising

help pls ..........!!!!!!!!!!!!!!

Answers

Answer:

x(3 + 4)

4(3x + 1)

Step-by-step explanation:

3x + 4x

The common factor is x, so factor out the x.

3x + 4x = x(3 + 4)

12m + 4

The common factor is 4, so factor out the 4.

12m + 4 = 4(3x + 1)

Please answer i don’t know

Answers

The answer is A.
Hope this helps!

The circumference of a circle is 27.004 yards. What is the circle's radius?

Answers

Answer:

Step-by-step explanation:

Remark

Givens

Circumference = 27.004

pi = 3.14

Formula

C = 2*pi * r

Solution

27.004 = 2 * 3.14 * r

27.004 = 6.28 * r

27.004/6.28 = r

r = 4.3

A_______ represents data through pictures of objects.
(Data,Tally,Bar graph, Pictograph)​

Answers

Answer:

Pictograph

Step-by-step explanation:

Find the number that makes the ratio equivalent to 1:8.
8:
Submit

Answers

Answer:

8:64

Step-by-step explanation:

1*8 = 8

so if we do the number under 1 (8) times 8 the ratio will be consistent

So 8*8 or 8² is 64

Hope I helped (p.s. maybe brainlest answer)

A rental company charges $8 per hour to rent a kayak plus a $12 rental fee. If Margerie spent $44, for how many hours did she rent the kayak?​

Answers

4 hours she spent .............:

Answer:

4

Step-by-step explanation:

44-12=32 divide then 4

What is the answer and can you please explain how to do the work.

Answers

Answer:

28in

Step-by-step explanation:

you cut the face in shapes you recognize how to do the area of. Then find the numbers of the shapes that might be missing, then add them all up.

I see a rectangle, square, and square.

A = 10×2

A = 20in

A = 2x2

A = 4

A = 2x2

A = 4

add the areas up you get 28in

why is the petrol price cheaper at coastal than inland

Answers

Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.

The petrol price is cheaper at coastal than inland due to the cost of transporting the petrol to inland. Deposits are found along the coast, so the price to transport the petrol is much cheaper than having to transport it all the way from the coast to inland. Therefore, transportation costs are the cause of petrol prices being cheaper at the coast than it is inland.

What is the name given to the point (0,7)
A.Just a plain point
B. Y - Intercept
C. Vertex
D.Root

Answers

The answer is B. Y intercept

Greatest Common Factor (GCF) and Lowest Common Multiple (LCM) of (40, 42) ASAP Please​

Answers

Answer:

the gcf for 40 and 42 is 2

and lcm for 40 and 42 is 840

Step-by-step explanation:

the factors of 40 are 1,2,4,5,8,10,20,40 ; the factors of 42 are 1,2,3,6,7,14,21,42 .

So what they have in common for GCF is 2 for a factor .

multiples of 40: 40, 80, 120,160,200,240,etc.

multiples of 42 : 42, 84,126,168,210,252,etc.

What they have in common for LCM is a multiple is 840

hope I helped ! please mark me brainlest if I got it right :)

need help with logs problem pls asap i’ll mark u brainlist

Answers

You must use this formula: A= P(1+r) power of t
P=starting price
r= rate in decimal form
t= number of years

Since you own the jersey for 1025, that will be P.
The rate is 14% or 0.14.
The number of years is calculated by subtracted 2028 and 2022 (today’s date), which is 6.
A=1025(1.14) power of 6. Plug that in a calculator and you have your answer. You may need to round to the nearest hundredth, the question does not specify.

What is another way to describe an event with a probability of 1?

Answers

Answer:

Likely to get it.

Step-by-step explanation

Do you mean 1% or 1? If 1 then it is likely to pick that.

If it is 1% then it's the opposite (unlikely) to pick that.

Hopes this makes sense!

Can Someone PLSSS help me on this math homework from 12-16

Answers

The answer is negative 4

What is the surface area of this figure?

Thanks in advance!

Answers

Answer:

24 cm ²  B.

Step-by-step explanation:

if the triangle is a right triangle he I know it

do 4*3=12 the /2 so 6

8-4=4  4*1.5=6  

3*4=12

12+6+6

24 I think

Bob is throwing a party. He has 222222 pints of soda. At the end of the party, there are 888 pints of soda.
How many cups of soda were drank during the party?

Answers

I do not know that that is hard

Answer: Why does this guy need so much soda? And my brain isn't working for math right now. Sorry sweetheart.

Step-by-step explanation: Have a nice day!

ok now this hehehe, i just wanna see if im correct.

Answers

Answer:

x = 49.4°

Steps:

given: m∠EFG = 90°

tan(x) = FG/EF

tan(x) = 10.5/9

tan(x) = 7/6

tan(x) = 1.166..

x = tan⁻¹(x)

x = tan⁻¹(1.166..)

x = 49.39.. ≈ 49.4°

Can someone help me with this please

Answers

Step-by-step explanation u just have to add them all the same ok

Which coupon gives you a better deal on the ps5? (Explain why as well)

Answers

Answer:

30%

Step-by-step explanation:

500 - $30 = $470

30% of 500 is 150

500-150=350

PLEASE ANSWER THIS ASAP WHOEVER IS CORRECT GET BRAINLIST

Answers

Answer:

-Entire triangle region : 120 sq.cm

-Area of semi circle : 100.53 sq.cm

-Entire composite figure : 220.53 sq.cm

Step-by-step explanation:

Area of triangle = ½ × base × height

= ½ × (8+8) × 15

=½ × 16 × 15

= 120 sq.cm

[tex]area \: of \: semi \: circle = \frac{1}{2} \pi {r}^{2} \\ = \frac{1}{2} \times \pi \times {8}^{2} \\ = \frac{1}{2} \times \pi \times 64 \\ = 32\pi[/tex]

=100.530.......

=100.53 sq.cm (rounded to 2 decimal place)

Area of entire figure = 120 + 100.5353

= 220.53 sq.cm

Hope I could help:))

solve -4x/x-1+2x+6/x^2-1=1

Answers

Answer:

Step-by-step explanation:

6/x^2 + 2 x = 7

2 x^3 - 7 x^2 = -6 (for x!=0)

(2 (x^3 - 3 x^2 + 3))/x^2 = 1

A circular mirror has a radius of 14 inches. What is the area of the mirror? Use 3.14 for π (pi). Round to the nearest tenth.

Answers

I hope this helps you

Area=pi. r^2

Area =3,14.(14)^2

Area =3,14.196

Area =615,4

615,4 that’s the answer

What is 2 times 200 - 321 + 67= 56-65



jameskeeton04 pls talk to me

Answers

Answer: 2*200-321+67=56-65? look at the picture

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

Answer:

-9

Step-by-step explanation:

2 x 200 = 400

400 -321 = 79

79 + 67 = 146

56 - 65 = -9

Please let me know if this helps.

What are the slope and y-intercept of line r and line s?​

Answers

Answer:

S y-intercept (0,2)

R y intercept (0,0)

Step-by-step explanation:

In the equation y = kx, what does the variable k represent?
A. The dependent variable

B. The constant of variation

C. The independent variable

D. The direct variation equation

Answers

Answer:

I think it B but I really don't know cause need like an example

The k in the equation represents Option B) The constant of variation

What is a constant in an equation?

A constant is a value or number that never changes in expression; it's constantly the same. For example,  36 and 82 are constant because its face value is 36 and 82 respectively. Its value never changes.

Given here the equation y=kx where k is the slope and a scalar value thus it is independent of x and y and thus is a constant.

Hence, The k in the equation represents Option B) The constant of variation

Learn more about the constant in an equation here:

https://brainly.com/question/29248372

#SPJ2

find missing exponents ​

Answers

I say 3 if I’m wrong sorry

What is the length of a segment with endpoints (2, 5) and (10, 11) *

•5 units
•8 units
•10 units
•14 units

Answers

Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

Other Questions
How can I get a loan with no job? what questions might you ask to learn more about the company? check all that apply. what training programs are available from this organization? how is job performance evaluated? what is the organizational structure and where does this position fit in? how long do employees generally stay with this organization? A firm with alliance management capability is able to effectively manage which of the following tasks? (Check all that apply.)a. purchase of the alliance partnerb. alliance design and governancec. post-formation alliance managementd. partner selection and alliance formation What is blank verse in Julius Caesar? Which of the numbers below are potential roots of the function P x )= x4 22x2 16x 12? which of the following statements accurately describe the similarities and differences between mortgage bankers and mortgage brokers? check all that apply. mortgage brokers are often able to reduce the loan-shopping time, hassles, and red tape for their customers. although mortgage brokers often appear to work on behalf of their borrowing customers, they are ultimately paid by the mortgage lender. many mortgage bankers ultimately sell the mortgages that they create. To host a party at a local restaurant ,you must pay $____to rent it and $___ per guest. Does the FCC regulate the Internet? A fair die is roll 4 times find the probability of getting 2 six In "the devoted keeper of Anne Frank's legacy"in the final sentence of the article, the writer states that she sees "goodness" in Elias. What textual evidence details support that assessment? DUE TOMORROW MORNING!!! HELP HELP HELPPP Im so lost but I feel like its easy and Im making it hard pleaseee help!!!!! due to a coding problem at the phone company, jane m's name keeps getting added to the no call list when she should not be there. write a method that will check to see if jane m is in the map. if she is, remove her from the map. otherwise, do nothing. What are 4 ways you can protect and secure the computerized medical records? What is the percentage of oxygen in AgNO3? Which of the following events influenced the changes in cotton production and slavery in the United States between 1800 and 1860 illustrated in the graphs above?answer choicesa. Eli Whitney invented the Cotton Ginb. The three-fifths compromise in the Constitutionc. The Fugitive Slave Act was passed by Congressd. Erie Canal was completed in 1825 How do you find standard deviation from z-score? A feature of sports is that they are _____. Is algebra 3 a thing? 2. How does the author use antithesis in paragraph 3?A. The author juxtaposes real achievements with fictional stories.B. The author juxtaposes astronauts with actors What did the Tennessee Valley Authority TVA and the public works?