Question

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = bh 68.7 cm2 161.7 cm2 381.3 cm2 450.0 cm2

Answer 1

First, we need to find the opposite side.
opposite^2 = 30^2 -27.6^2
opposite^2 = 900 -761.76
opposite^2 = 138.24
opposite side = 11.7575507654

Right Triangle Area = (adj * opp) / 2
Right Triangle Area = (27.6 * 11.758) / 2
Right Triangle Area = 324.51 / 2
Right Triangle Area = 162.25

Answer is 161.7 cm^2