Question

The construction of a triangle PQR, given that PQ = 5 cm, $\angle Q={45}^{\circ }$ is not possible when sum of PR and QR is equal to

• A.
  8 cm
• B.
  9 cm
• C.
  7 cm
• D.
  4 cm

Answer 1

The correct option is D

4 cm

We know that sum of the lengths of any two sides of a triangle is greater than the length of the third side.
So, $PR+QR>5$
Hence, 4cm cannot be the possible value of sum of PR and QR
And the correct answer is option (d)