Question

In triangle ABC, AD is the median of triangle ABC and BE is the median of triangle ABD. If area of triangle ABE = 15cm^2, then find the area of triangle ABC

Answer 1

Answer:

60

Step-by-step explanation:

The important thing to notice is that a median cuts a triangle into two pieces of equal area.  This is because each part is a triangle with equal sized bases (the median bisects that side) and equal heights.

With that in mind, the area of ABE is half of the area of ABD, so ABD has area equal to 2 x 15 = 30.

Likewise, area of ABD is half the area of ABC, so ABC has area equal to 2 x 30 = 60.

Answer 2

Answer:

Step-by-step explanation:

Median divides the triangle in two triangles of equal area.

∴ar(△ABC)=2ar(△ADC)

ar(△ABC)=2×15=30cm

2*30=60cm2