Question

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

Answer 1

The length of the hypotenuse is 26 cm.

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.

`√(hypotenuse^2)=√(676)`

`hypotenuse=26`

Therefore the length of the hypotenuse is 26 cm.