Question

In an isosceles $\Delta ABC$, $\angle A$ is ${30}^{\circ }$. The sides AB and AC are equal. Using constructions, find which side of $\Delta ABC$ is the shortest.

• A. BC
• B. AC
• C. AB
• D. Data Insufficient

Answer 1

The correct option is A

BC

Since the measure of angle A = ${30}^{\circ }$, then it follows that the other two angles must be equal and add up to ${150}^{\circ }$. That means they are each ${75}^{\circ }$.

After construction, you can see that the side opposite to $\angle A$ (side BC) is the smallest side.