Question

In triangle PQR, PS is the median of the
triangle. Which one of the following is
always true?
(a) PQ+QR+RP > 3 PS
(6) PQ+ Q R + RP > 2 PS
c) PQ+QR+ RP > PS​

Answer 1

Answer:

PQ+ Q R + RP > 2 PS

Step-by-step explanation:

In triangle PQR, PS is the median of the triangle

=> QS  = RS

in Δ PQS

PQ + QS > PS  ( sum of two sides of triangle > third side)

in Δ PRS

PR + RS > PS    ( sum of two sides of triangle > third side)

Adding Both

PQ + QS + PR + RS > PS + PS

QR = QS + RS

=> PQ + PR + QR  > 2PS

=> PQ+ Q R + RP > 2 PS

Answer 2

Answer:

Step-by-step explanation:

1) pq+qs is greater than

2) pr+sr is greater than ps

3) by adding pq+qs+pr+sr is greater than ps+ps

pq+qr+pr is greater than 2ps