Question

The area of a right angled isosceles triangle is numerically equal to its perimeter. It's hypotenuse is sum of square roots of two natural numbers. Find the sum of those two natural numbers.
Plzz solve it fast it's important

Answer 1

Answer:

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

Given, hypotenuse of the triangle =6

2

cm

2

a=6

2

cm

a=6cm

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

Hence, area of the triangle =

2

1

×base×height=

2

1

×6×6=18 sq cm