Question

A right triangle has legs with lengths 9 cm and 40 cm. What is the length of the hypotenuse?

___cm?

Answer 1

The length of three sides in a right triangle has the rule of hypotenuse^2=leg one ^2 + leg two ^2. So the square of the length of hypotenuse equals to 9^2+40^2. So the length is 41 cm.

Answer 2

41cm

Explanation:

Let the given right triangle be ABC, then ∠B=90° and AB=40cm and BC=9cm.

Using the pythagoras theorem, we get

`(AC)^(2)=(AB)^(2)+(CB)^(2)`

`(AC)^2=(9)^2+(40)^2`

`(AC)^2=√(81+1600)`

`(AC)^2=√(1681)`

`AC=41cm`

Therefore, the value of the hypotenuse of the given right triangle will be 41 cm.