COMEDK Exam 2015 Solved Paper

We have, BE and AD are the medians. So, E and D are the mid-points of AC and BC respectively. ∴ Coordinates of E=(‌

a

2

,‌

b

2

)
and coordinates of D=(‌

a

2

,0)
Now, slope of median BE=m1=‌

b

a

Also, slope of median AD=m2=‌

−2b

a

Now, m1 and m2 are perpendicular if m1m2=−1 ⇒‌

b

a

×‌

(−2b)

a

=−1⇒2b2=a2⇒a=±√2b