Question

What is the measure of the

hypotenuse of a right triangle
if the legs measure 10 and 24?
​

Answer 1

The measure of the hypotenuse is 26 units.

Explanation:

Use the Pythagorean theorem:

`a^2+b^2=c^2`

a, b - legs

c - hypotenuse

We have the legs measure a = 10 and b = 24. Substitute:

`c^2=10^2+24^2\\\\c^2=100+576\\\\c^2=676\to c=√(676)\\\\c=26\ \text{because}\ 26^2=676`

Answer 2

26

Explanation:

We can use the Pythagorean theorem to find the hypotenuse of a right triangle

a^2 + b^2 =c^2 where a and b are the legs

10^2 + 24^2 =c^2

100 +576 = c&2

676 = c^2

Take the square root of each side

sqrt(676) = sqrt(c^2)

26 = c

The hypotenuse is 26