Question

22 find the perimeter of an isosceles right triangle having area 200 cm2

Answer 1

Step-by-step explanation:

for isosceles right angle triangle, two sides are equal except the hypothesis as shown in figure

let the two sides be a and hypothesis be b

as shown in figure

then from pythogorus theorem,

a^2+a^2=b^2

2(a^2)=b^2

a√2=b

given area of isosceles right angle triangle is 200

(1/2)(a)(a)=200

a^2=400

a=√(400)

a=20

then b=20(√2)=20√2

then the perimeter is a+b+c

=20+20+20√2

=40+20√2