Question

Question 9

In $\Delta PQR$,

a) PQ - QR > PR
b) PQ + QR < PR
c) PQ - QR < PR
d) PQ + PR < QR

Answer 1

As we know, sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

In $\Delta PQR$, $PR+QR>PQ$
$\Rightarrow PR>PQ-QR\Rightarrow PQ-QR<PR$
Hence option (c) is correct.