Question

4.In ∆ABC, ∠ABC = 90°. ABP is an equilateral triangle. PQ∥ BC. Prove that: . PQ⊥ AB and AQ=

Answer 1

given:in ∆ABC,ABC=90° ABP is an equilateral triangle and PQ||BC

To prove:PQ is perpendicular to AB and AQ=?

proof:PQ||BC (given) and AB is transverrsal

therefore,AQP=QBC (by corresponding angle)

AQP=90°

then BQP=90°

it shows PQ is perpendicular to AB

AQ=2AB