Question

Find perimeter of isoscles right angled triangle
having
area
of
200 cm²?
am​

Answer 1

In an isosceles right angled triangle, the two sides on the right angle are equal

Let the equal side be a

Hence, hypotenuse of the isosceles right angled triangle of side a=

a

2

+a

2

=

2

a

In the isosceles right triangle, the base and height =a

Hence, area of the triangle =

2

1

×base×height=

2

1

×a×a=200 sq cm

=>a

2

=400

=>a=20cm

And the hypotenuse =

2

a=20

2

cm