Question

Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а​

Answer 1

A≈ 268.76 sq cm.

Explanation:

sine 27 = opposite side/hypotenuse

sine 27 = x/40

sin 27(40) = x

18.15961999 =x

18.16 = x

A = 1/2(29.6)(18.1596199)

A = 268.7623759

A≈ 268.76 sq cm.