Question

The area of an isosceles right triangle is 121 ft squared. What is the approximate length of each of the two equal sides?

Answer 1

15.56 ft

Explanation:

The formula for the area of a triangle is

A = ½bh

This is an isosceles triangle, so b = h.

Substitute the value of h

A = ½b² = 121

Multiply each side by 2

b² = 242

Take the square root of each side of the equation.

b = √242 ≈15.56 ft

The length of the two equal sides of the triangle is approximately 15.56 ft.

Check:

A = ½(15.56)² = ½× 242 = 121 ft²