The length of the hypotenuse of a right-angled isosceles triangle is 8

1.	The length of the hypotenuse of a right-angled isosceles triangle is 8 cm. Find its area.
Answer» ANSWER: 4√2 Step-by-step explanation Let A,Band C be POINTS of isosceles triangle. Given length of hypotenuse of an isosceles triangle is 8 cm. Clearly , as it is an isosceles triangle , ONE angle is 90° and the remaining are 45° each . So , COS 45°=Base/Hypotenuse => 1/√2=BC/8 => BC = 8/√2 =>BC =4√2

The length of the hypotenuse of a right-angled isosceles triangle is 8 cm. Find its area.

Answer»

4√2

Step-by-step explanation

Let A,Band C be POINTS of isosceles triangle.

Given length of hypotenuse of an isosceles triangle is 8 cm.

Clearly , as it is an isosceles triangle ,

ONE angle is 90° and the remaining are 45° each .

So , COS 45°=Base/Hypotenuse

=> 1/√2=BC/8

=> BC = 8/√2

=>BC =4√2