Chapter 12.8, Problem 19OE

To determine

In triangle ABC if $\left(b\right)$ is the longest side then what conclusion can you conclude about $\left(\angle A\right)$ .

Answer to Problem 19OE

The angle $\left(\angle A\right)$ will be less than angle $\left(\angle B\right)$ .

Explanation of Solution

Given information: The given triangle ABC has longest side $\left(b\right)$ .

Calculation: Since the given triangle ABC has longest side $\left(b\right)$ . Therefore angle opposite to side $\left(b\right)$ which is $\left(\angle B\right)$ will always be greater than the remaining two angles. Therefore angle $\left(\angle A\right)$ will always be less than angle $\left(\angle B\right)$ . Hence it can be concluded that $\left(\angle A\right)$ will be always less than angle $\left(\angle B\right)$ .