MCQ
In a $\triangle A B C$, if $\angle A=\angle B+\angle C$, then $\triangle A B C$ is
- Aisosceles triangle
- Bequilateral triangle
- Cright triangle
- Dnone of these
✓
Answer
C. right triangle
We have, \[ \angle A=\angle B+\angle C \Rightarrow \angle A+\angle A=\angle A+\angle B+\angle C \Rightarrow 2 \angle A=180^{\circ} \Rightarrow \angle A=90^{\circ} \]
Hence, $\triangle A B C$ is a right triangle.
We have, \[ \angle A=\angle B+\angle C \Rightarrow \angle A+\angle A=\angle A+\angle B+\angle C \Rightarrow 2 \angle A=180^{\circ} \Rightarrow \angle A=90^{\circ} \]
Hence, $\triangle A B C$ is a right triangle.
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