Question

A right angled isosceles triangle has hypotenuse of 12cms.its area is

Answer 1

Use Pythagorean therom for finding sites and use the triangle formula for area of triangle and see the attachment.

Answer 2

Solution:

The area is 36 square centimeters.

Explanation:

Let us suppose ABC is the right angled isosceles triangle with hypotenuse AC.

Let the measure of other two sides are x since for isosceles triangle, two sides are equal.

Now applying the Pythagorous theorem, we get

$x^2+x^2=12^2\\\\2x^2=144\\\\x^2=72\\\\x=6\sqrt2$

Now, we know the area of a triangle is given by

$A=\frac{1}{2} \times \text{ Base} \times \text{ Height}\\\\A=\frac{1}{2} \times 6 \sqrt2 \times 6 \sqrt2\\\\A=36$

Therefore, the area is 36 square centimeters.