Question

the square of the hypotenuse of an isosceles right angled triangle is 288sq.cm . what is the length of each side? ( answer it with explanation)​

Answer 1

Answer:

Concept:-

A right angled triangle with base and perpendicular equal is called a isosceles right angled triangle.

Assumption:-

Let the each side be x

According to Pythagoras theorem:-

${x}^{2} + {x}^{2} = 288$

$2 {x}^{2} = 288$

${x}^{2} = \frac{288}{2}$

${x}^{2} = 144$

$x = \sqrt{144}$

x=12cm

Therefore,

Length of each side=12cm