Question

The length of each leg of an isosceles right triangle is 4 cm. What is the length of the hypotenuse

Answer 1

hypotenuse = 4√2

Explanation:

It is given that, the length of each leg of an isosceles right triangle is 4 cm

To find the hypotenuse

From the given information we get the given triangle is a right triangle with angles 45°, 45° and 90°

Therefore the side are in the ration 1 : 1 : √2

Here two legs are give

leg1 : leg2 : hypotenuse = 4 : 4 : 4√2

Therefore hypotenuse = 4√2

Answer 2

5.65 cm

Explanation:

We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.

For this, we will use the Pythagoras Theorem:

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

where
`a` is the hypotenuse.

`a ^ 2 = 4 ^ 2 + 4 ^ 2`

`\sqrt { a ^ 2} = \sqrt { 3 2 }`

`a = 5 . 6 5`

Therefore, the length of the hypotenuse is 5.65 cm.