MCQ
In $\triangle\text{ABC, }\angle\text{A}=40^{\circ}$ and $\angle\text{B}=60^{\circ}.$ Then the longest side of $\triangle\text{ABC}$ is:
- A$BC$
- B$AC$
- ✓$AB$
- Dcannot be determined
✓
Answer
Correct option: C.
$AB$
In $\triangle\text{ABC},$
$\angle\text{A}+\angle\text{B}+\angle\text{C}=180^{\circ}$ ...(Using Angle Sum Property)
$\Rightarrow40^{\circ}+60^{\circ}+\angle\text{C}=180^{\circ}$
$\Rightarrow\angle\text{C}=80^{\circ}$
We know that, the greater angle has the longest side opposite to it.
Since $\angle\text{A}<\angle\text{B}<\angle\text{C, }\text{BC < AC < AB}.$
So, the longest side is $AB.$
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