Question

In triangle $PQR,\angle P:\angle Q:\angle R=5:6:7$, without finding the angles of the triangle, name its smallest side.

• A. PQ
• B. QR
• C. PR
• D. None of these

Answer 1

Answer: (B)

QR

Given, $\angle P:\angle Q:\angle R=5:6:7$

Let the angles be $5x,6x,7x$

here, $\angle R>\angle Q>\angle P$

In a triangle, the smallest side is opposite to the smallest angle. $\angle P$ is smallest hence QR is the smallest side.

Hence option ${}^{\prime }{B}^{\prime }$ is the answer.