Sylvia made a poster shaped like the triangle shown below.

The hypotenuse is 26in. one like is is 24 in. and the bottom leg is blank.
What is the length of the the third side of the triangle?
A. 10 in.
B. 12 in.
C. 14 in.
D. 16 in.
Is the answer D?
Thank you

Use a^2 + b^2 =c^2.

A is 24, and b is one of the inch amounts. C is 26

24^2 + b^2 = 26^2

Now let's plug in 16 as b to see if it is the correct value.

24^2 + 16^2 = 26^2
__576 + 256 = 676
________832 = 676

So, D is not the answer.

Now let's try a different value for b.

24^2 + 10^2 = 26^2
__576 + 100 = 676
________676 = 676

So, A is the answer, and not D.

I hope this helps! :)

All the answers

Thank you sooo much!

You're welcome Callie! :)

Thank you brady for explaining the answer and not just giving it

yea uhuh whatever thanks said is what im saying

To find the length of the third side of the triangle, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, we are given that the hypotenuse is 26 inches and one of the legs is 24 inches. Let's call the length of the third side (the missing leg) x.

According to the Pythagorean theorem, we have:

x^2 + 24^2 = 26^2

Simplifying this equation, we get:

x^2 + 576 = 676

Subtracting 576 from both sides, we have:

x^2 = 100

To find the length of x, we can take the square root of both sides:

x = √100

x = 10

Therefore, the length of the third side (the missing leg) is 10 inches.

So, the correct answer is A. 10 in.