Question

In the given figure ,AP perpendicular to BC,DQ perpendicular to BC BAC similar to BDC then prove A ABC ~ADBC.​

Answer 1

Answer:

Given:

AP ⊥ BC —————————— 1

DQ ⊥ BC —————————— 2

️ BAC ~ ️ BDC ———————— 3

To prove: ️ ABC ~ ️ DBC

Proof:

From equation 3, we have

∠ ABC = ∠ DBC

∠ BAC = ∠ BDC

∠ ACB = ∠ DCB

From the above equations, ️ ABC ~ ️ DBC (AAA similarity)