Question

Find the area of an isosceles right triangle with hypotenuse 40 cm

Answer 1

Since it's an isoceles triangle, the other two sides would be equal. Let them be of "a" cm


So by Pythagoras Theorem,

Base² + Height² = Hypotenuse²

=> a² + a² = 40²

=> 2a² = 1600

=> a² = 1600/2

=> a² = 800

Now the area for isoceles right triangle is

1/2 × base × height

But since base = height = a

=> area = 1/2 × a × a

=> area = 1/2 × a²

=> area = 1/2 × 800

= 400 cm²

Answer :- 400

Answer 2

Hi Mate!!!!

Area of isosceles right Trangle is = 1 / 2 ( b )×( h )

here in isosceles triangle b = h

So,


it's area is = 1 / 2 ( h² )


By Pythagoras theorem.

( 40 )² = h² + h²

2h² = 1600

h² = 800cm²

Therefore area of isosceles right Trangle is

1 / 2 ( 800cm² ) = 400cm²


Have a nice day ahead..