Question

The legs of a right triangle are 10 cm and 24 cm. What is the length of the hypotenuse?

Answer 1

Answer:

The length of the hypotenuse is 26 cm.

Step-by-step explanation:

It is given that the legs of a right triangle are 10 cm and 24 cm.

we need to find the length of the hypotenuse.

According to the Pythagoras theorem,

$hypotenuse^2=leg_1^2+leg_2^2$

Substitute $leg_1=10$ and $leg_2=24$ in the above formula.

$hypotenuse^2=(10)^2+(24)^2$

$hypotenuse^2=100+576$

$hypotenuse^2=676$

Taking square root on both sides.

$\sqrt{hypotenuse^2}=\sqrt{676}$

$hypotenuse=26$

Therefore the length of the hypotenuse is 26 cm.

Answer 2

To determine the length of the hypotenuse, apply Pythagorean theorem.

A^2 + B^2 = C^2
(10)^2 + (24)^2 = C^2
100 + 576 = C^2
676 = C^2
C = 26 cm.

The hypotenuse is 26 cm.