Question

please answer it in a triangle pqr PS is median of triangle which one of the following is always true PQ + QR + RQ is greater than 3 PS​

Answer 1

Answer:

PQ + PR + RQ > 2PS

Step-by-step explanation:

PS is the Median

in Δ PQS

PQ  + QS  > PS  ( sum of two sides of a triangle is greater than third side)

Similarly

in Δ PRS

PR + RS > PS

Adding both

PQ + QS  + PR + RS > PS + PS

=> PQ + PR + QS + RS > 2PS

RS + QS = RQ

=>  PQ + PR + RQ > 2PS