Question

In $\Delta ABC$, if $\angle A={50}^0$ and $\angle B={60}^0$, then the shortest and largest sides of the triangle, respectively are:

• A. $AC$ and $AB$
• B. $BC$ and $AB$
• C. $AC$ and $BC$
• D. $BC$ and $AC$

Answer 1

Answer: (B)

$BC$ and $AB$

We have,
$\angle A=50$ and $\angle B=60$
$\therefore \angle A+\angle B+\angle C=180$ $[$ Angle sum property of a $\Delta$ $]$
$\Rightarrow 50+60+\angle C=180$
$\Rightarrow 110+\angle C=180$
$\Rightarrow \angle C=180-110$
$\Rightarrow \angle C=70$
Since $\angle A$ and $\angle C$ are the smallest and largest angles respectively, therefore corresponding sides $BC$ and $AB$ are the smallest and largest sides of the triangle respectively.

Hence, option $B$ is the correct answer.