Question

In an isosceles triangle abc the base ab is produced both ways to p and q such that ap×bq=2ac

Answer 1

Answer:

Step-by-step explanation:

Given: ΔABC is an isosceles triangle AC = BC.

We know that,

AP x BQ = AC²

AP x BQ = AC x AC

AP/AC=AC/BQ

AP/AC=BC/BQ

Also, ∠CAB = ∠CBA   (equal sides have angles opposite to them)

180 – CAP = 180 – CBQ

∠CAP = ∠CBQ

Therefore, ΔAPC∼ΔBCQ  (SAS similarity)