MCQ
In $\triangle\text{ABC},$ $\angle\text{A} = 35^\circ$ and $\angle\text{B} = 65^\circ$, then the longest side of the triangle is:
- ✓$AB$
- B$BC$
- C$AC$
- DNone of these
✓
Answer
Correct option: A.
$AB$
As per angle sum property, $\angle\text{A} +\angle\text{B}+\angle\text{C}= 180^\circ$
Hence, $35^\circ + 65^\circ + \angle\text{C} = 180^\circ$
$\Rightarrow\ \angle\text{C} = 80^\circ$ which is the greatest angle.
We know that the side opposite to the greatest angle i.e $AB$ would be the greatest.
Hence, $AB$ is the longest side.
Hence, $35^\circ + 65^\circ + \angle\text{C} = 180^\circ$
$\Rightarrow\ \angle\text{C} = 80^\circ$ which is the greatest angle.
We know that the side opposite to the greatest angle i.e $AB$ would be the greatest.
Hence, $AB$ is the longest side.
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