Question

A right ttiangle has one angle that measure 23°. The adjacent leg measures 27.6cm and the hypotenuse measures 30cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2 bh

Answer 1

The problem is overdetermined; we'll assume b = 30 cos 23° and ignore the 27.6 approximation.

That leaves h = 30 sin 23° so


`A = \frac 1 2 bh = \frac 1 2 30^2 \cos 23^\circ \sin 23^\circ = 15^2\sin46^\circ=161.85`
161.9 rounded