Answer:
The perimeter of the isosceles right triangle is 68.28 cm.
Step-by-step 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;
[tex]A= \frac{1}{2} bh \\\\But, b = h\\\\A = \frac{1}{2} b^2\\\\200 = \frac{1}{2} b^2\\\\400 = b^2\\\\\sqrt{400} = b\\\\20 \ cm = b[/tex]
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.
