Question

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

Answer 1

Answer:

26

Step-by-step 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

Answer 2

Answer:

The measure of the hypotenuse is 26 units.

Step-by-step 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:

$c^2=10^2+24^2\\\\c^2=100+576\\\\c^2=676\to c=\sqrt{676}\\\\c=26\ \text{because}\ 26^2=676$