Question

The length of the base of an isosceles triangle is 38.53 inches. Each base angle is 24.65°. Find the length of each of the two equal sides of the triangle.

The other two sides of the triangle have lengths of inches.

Answer 1

Step-by-step Hence

x 2 + x 2 = 12 2

or 2 x 2 = 144

or x 2 = 72

i.e. x = √ 72 = 6 √ 2 = 6 ×

1.4142

=

8.4852

Hence, length of each leg is

8.4852

inches.