Question

angle abc and angle bdc are right angle triangle angle bac=90 degree and ac=bd prove that angle abc congruent angle bdc​

Answer 1

Answer:

In △APB and △DPC, we have

∠A=∠D=90

∘

and

∠APB=∠DPC [Vertically opposite angles]

Thus, by AA-criterion of similarity, we have

△APB∼△DPC

⇒

DP

AP

=

PC

PB

⇒ AP×PC=DP×PB