Question

Answer each of the following questions in one word or one sentence or as per exact requirement of the question.

Find the area of the triangle ∆ABC in which a = 1, b = 2 and $\angle C=60°$.

Answer 1

In ∆ABC, a = 1, b = 2 and $\angle C=60°$.

∴ Area of the ∆ABC

$$\begin{gathered} =\frac{1}{2}ab\sin C \\ =\frac{1}{2}\times 1\times 2\times \sin 60° \\ =\frac{1}{2}\times 2\times \frac{\sqrt{3}}{2} \\ =\frac{\sqrt{3}}{2}\mathrm{square}\mathrm{units} \end{gathered}$$