Question

If PS is a median of the triangle PQR, then prove that the triangles PSQ and PSR are equal in area. If G is
the midpoint of median PS, prove that: ar(∆QGR) = 2 ar(∆PGR)

Answer 1

Answer:

In PQR , PS is the median

(PQS = (PRS) ------------ 1

Again in PQR , AS is the median

(AQS) = (ASR)----------------------2

Subtracting (2) from (1)

(PQS) - (AQS) = (PSR) - (ASR)

(PQA) = (PAR)