Question

what is the area of triangle pqr? round to the nearest tenth of a square unit. 70.5 square units 111.3 square units 185.4 square units 222.5 square units trigonometric area formula area = $\frac{1}{2}absin(c)$

Explanation:

Step1: Identify values for formula

Let $a = 20$, $b = 12$, and $C=36^{\circ}$.

Step2: Substitute into area formula

Area $=\frac{1}{2}\times20\times12\times\sin(36^{\circ})$.
First, calculate $\frac{1}{2}\times20\times12 = 120$.
Then, $\sin(36^{\circ})\approx0.5878$.
Multiply: $120\times0.5878 = 70.536$.

Step3: Round to nearest tenth

Rounding $70.536$ to the nearest tenth gives $70.5$.

Answer:

70.5 square units