Solveeit Logo

Question

Question: ABC is a triangle whose medians AD and BE are perpendicular to each other. If AD = p and BE = q then...

ABC is a triangle whose medians AD and BE are perpendicular to each other. If AD = p and BE = q then area

of ∆ABC is-

A

23pq\frac{2}{3}pq

B

32pq\frac{3}{2}pq

C

43pq\frac{4}{3}pq

D

34pq\frac{3}{4}pq

Answer

23pq\frac{2}{3}pq

Explanation

Solution

AM = 23p\frac{2}{3}p, MD = 13p\frac{1}{3}p, BM = 23q\frac{2}{3}q

BM2 = BM2 + DM2