Question : In a $\triangle P Q R, \angle P: \angle Q: \angle R=3: 4: 8$. The shortest side and the longest side of the triangle, respectively, are:
Option 1: PQ and PR
Option 2: QR and PR
Option 3: PQ and QR
Option 4: QR and PQ
Correct Answer: QR and PQ
Solution :
In $\triangle P Q R$,
$\angle P: \angle Q: \angle R=3: 4: 8$
Let $\angle P= 3x,\angle Q=4x,\angle R=8x$
$\therefore \angle R$ is the largest angle and $\angle P$ is the smallest angle.
The shortest side will be opposite to the smallest angle.
⇒ QR is the shortest side.
The longest side will be opposite to the largest side.
⇒ PQ is the longest side.
Hence the correct answer is QR and PQ.
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