Question

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

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

Answer 1

The correct option is A PQ

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 largest side is opposite to the largest angle. $\angle R$ is largest hence PQ is the largest side.

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