Question

please tell me the answer and can you give me some important questions of triangle chapter of class 9

Answer 1

Given : A triangle PQR. A point S on QR.

To Prove : PQ + QR + PR >2PS

Proof : We know that sum of two sides of a triangle is greater than the third side.

⇒PQ + QS > PS --(1)

⇒PR + SR  >PS --(2)

Adding (1) and (2) on both sides, we get,

⇒PQ + QS + PR + SR > PS + PS

= PQ + QS + SR + PR  >2PS

= PQ + QR + PR  >2PS    proved