Question

The length of the base of an isosceles triangle is 33.28 meters. each base angle is 37.57. find the length of each of the two equal sides of the triangle. round your answer to the hundredths place.

Answer 1

20.99 m

Explanation:

The apex angle is ...

180° -2·37.57° = 104.86°

By the law of sines, the unknown side x has length ...

x/sin(37.57°) = 33.28/sin(104.86°) = (side opposite)/sin(angle)

x = 33.28·sin(37.57°)/sin(104.86°) ≈ 20.99396 ≈ 20.99 . . . . meters