Question

the coordinates of the points A, B, C and D are (6,3), (-3,-5), (4,-2) and (a,3a) respectively. If the ratio of the area of triangle ABC and DBC is 2 : 1, then find the value of a

Answer 1

ar(∆ABC)/ar(∆DBC) = 1/2 x AD x AB/1/2x BC x CD
=> AD x AB/BC x CD = 1/2
then find the values of AD,AB,BC and CD then substitute the values in the equation given above.

I hope this helps you :)