Question

Find the perimeter of a isosceles right triangle having area of 200 CM square​

Answer 1

The perimeter of the isosceles right triangle is 68.28 cm.

Explanation:

Given;

area of the isosceles right triangle, A = 200 cm²

let the two equal sides of the triangle = base (b) and height (h)

Area of the isosceles right triangle is calculated as;

`A= (1)/(2) bh \\\\But, b = h\\\\A = (1)/(2) b^2\\\\200 = (1)/(2) b^2\\\\400 = b^2\\\\√(400) = b\\\\20 \ cm = b`

let the hypotenuse side of the isosceles right triangle = c

c² = b² + h²

c² = 20² + 20²

c² = 800

c = √800

c = 28.28 cm

The perimeter of the isosceles right triangle is calculated as;

P = b + h + c

P = 20 cm + 20 cm + 28.28 cm

P = 68.28 cm

Therefore, the perimeter of the isosceles right triangle is 68.28 cm.