Question

Approximately how long is a leg of an isosceles right triangle that has a hypotenuse of length 11.31

Answer 1

Leg of an isosceles right triangle is 7.99 long.

Explanation:

Given:

Length of the hypotenuse =11.31

To find:

Length of the leg of an isosceles right triangle =?

Solution:

According to Pythagorean's Theorem, we have

`a^2 +b^2 = c^2`-----------------------------(1)

Here were are given as isosceles triangle, so the two sides will be of same length

So equation 1 can be rewritten as

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

`2a^2 = c^2`

Substituting the value of hypotenuse

`2a^2 = (11.31)^2`

`2a^2 = 127.91`

`a^2 = (127.91)/(2)`

`a^2 =63.955`

`a = √(63.955)`

a = 7.99