Question

Suppose you have a right triangle with side lengths 26, 24, and 10. Which lengths

represent the legs and which length represents the hypotenuse of the triangle?
Use the Pythagorean Theorem to explain how you know.

Answer 1

hypotenuse —>26

Legs —> 10 and 24

Explanation:

Generally ,the hypotenuse is the longest side .

So in our triangle the hypotenuse is of length 26.

Consequently, the legs are of lengths 24 and 10.

Also ,we can verify that this is right triangle using the Pythagorean theorem:

26^2 = 676

24^2+10^2 = 676

Then

26² = 24²+10².