MCQ
In $\triangle\text{ABC},\ \angle\text{A} = 50^\circ,\ \angle\text{B} = 60^\circ.$ Find the longest side of the triangle?
- A$BC$
- ✓$AB$
- CCannot be determined
- D$CA$
✓
Answer
Correct option: B.
$AB$
By angle sum property, we have,
$\angle\text{A} + \angle\text{B} + \angle\text{C} = 180^\circ$
$\Rightarrow 50^\circ + 60^\circ + \angle\text{C} = 180^\circ$
$\Rightarrow\ \angle\text{C} = 180^\circ - (50^\circ+ 60^\circ) = 70^\circ$
Therefore, $\angle\text{C}$ is the largest angle in the triangle and the side opposite to it i.e. $AB$ is the longest side.
$\angle\text{A} + \angle\text{B} + \angle\text{C} = 180^\circ$
$\Rightarrow 50^\circ + 60^\circ + \angle\text{C} = 180^\circ$
$\Rightarrow\ \angle\text{C} = 180^\circ - (50^\circ+ 60^\circ) = 70^\circ$
Therefore, $\angle\text{C}$ is the largest angle in the triangle and the side opposite to it i.e. $AB$ is the longest side.
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