Question

An isosceles right angled triangle has area 32 cm2.find the length of its hypotenuse

Answer 1

Hey there!

Let the equal sides of isosceles right triangles be a .

Now, Area = 1/2a²

Given that, Area of triangle = 32 .

So, From the above we can state that
1/2a² = 32
a² = 64
a = 8 .

So, The side of isosceles right triangle is 8cm.

Hypotenuse = √2 * equal side
= √2 * 8
= 8√2

Therefore, Length of hypotenuse of given triangle is 8√2 cm.

Answer 2

Simple
.5*base*ht= triangle area
Base=height=a
Or A^2=64 or a=8
Hyp is a *root2. :8 root 2