Question

In $△$ ABC, $AB=5$ cm, $BC=6$ cm and $CA=7$ cm. Identify the relation between the angles.

• A. $\angle B>\angle A>\angle C$
• B. $\angle A>\angle B>\angle C$
• C. $\angle B>\angle C>\angle A$
• D. $\angle C>\angle A>\angle B$

Answer 1

The correct option is A $\angle B>\angle A>\angle C$

In any triangle angle opposite to the longer side is larger.

Here $CA$ is the longest side and angle opposite to it is $\angle B$.

So $\angle B$ is largest angle.

Then comes $BC$ and angle opposite to it is $\angle A$

So angle $A$ is second largest.

Then comes $AB$ angle opposite to it is $\angle C$

So $\angle C$ is smallest.

So the decreasing order of angles is

$\angle B>\angle A>\angle C$