Question

In the $△ABC$,we have $\angle A>\angle B>\angle C$, then determine the shortest and the longest side of the triangle.

• A. Shortest side is $AB$ and the longest side is $BC$
• B. Shortest side is $BC$ and the longest side is $AB$
• C. Shortest side is $AB$ and the longest side is $AC$
• D. Shortest side is $AC$ and the longest side is $BC$

Answer 1

The correct option is A Shortest side is $AB$ and the longest side is $BC$

Given, $\angle A>\angle B>\angle C$

Hence, $BC>AC>AB$ (Side opposite largest angle is the longest and vice versa)

Thus, $BC$ is the largest and $AB$ is the shortest.