In Fig. 6.44, ABC and DBC are two triangles on thesame base BC. If AD intersects BC at O, show that

Question

Philoid · Accepted Answer

Let us draw two perpendiculars AP and DM on line BC

Area of a triangle =

Therefore,

=

In ΔAPO and ΔDMO,

∠APO = ∠DMO (Each = 90°)

∠AOP = ∠DOM (Vertically opposite angles)

∴ΔAPO ΔDMO (By AA similarity)