In triangle ABC, $\angle A=80^o, \angle B=30^o$. Which side of the triangle is the smallest?


Given:

In triangle ABC, $\angle A=80^o, \angle B=30^o$. 

To do:

We have to find the smallest side of the triangle.

Solution:

We know that,

In any triangle side opposite to the smallest angle is the shortest side.
 Therefore,

$\angle A+\angle B+\angle C=180^o$

$80^o+30^o+\angle C=180^o$

$\angle C=180^o-110^o=70^o$

The smallest angle in the given triangle is $\angle B$.

This implies,

The side opposite to $\angle B$, that is, $AC$ is the shortest side.

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Updated on: 10-Oct-2022

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