Question

In ∆ABC, if ∠A = 36° and ∠B = 64°, name the longest and shortest sides of the triangle.

Answer 1

In triangle ABC, $\angle A=36°,\angle B=64°$.

$$\begin{gathered} \mathrm{Now},\angle A+\angle B+\angle C=180°(\mathrm{Angle}\mathrm{sum}\mathrm{property}) \\ \Rightarrow 36°+64°+\angle C=180° \\ \Rightarrow \angle C=180°-100° \\ \Rightarrow \angle C=80° \end{gathered}$$

The side opposite the largest angle is the greatest and the side opposite the smallest angle is the shortest.
The side opposite to $\angle A$, BC, is the shortest side of the triangle and the side opposite to $\angle C$, AB, the longest side of the triangle.