In fig., If PQ ∥ BC and PR ∥CD. Prove that ARAD= AQAB. [4 MARKS]
Concept : 1 Mark
Application : 1 Mark
Proof : 2 Marks
In ΔABC, we have
PQ∥CB [Given]
Therefore, by basic proportionality theorem, we have
AQQB = APPC
⇒AQAB=APAC........(1)
In ΔACD, we have
PR∥CD [Given]
Therefore, by basic proportionality theorem, we have
APPC = ARRD
⇒APAC = ARAD........(2)
From (1) and (2), we obtain that
AQAB = ARAD
or ARAD = AQAB