Question

20 a point on the side BC of a triangle ABC such that angle abc is equals to angle BAC show that c square is equals to C B into CD

Answer 1

Answer:

Step-by-step explanation:

Given : ∠ADC = ∠BAC

To Prove : CA² = CB.CD

Proof : In ΔBAC and ΔADC ,

∠ADC = ∠BAC (Given)

∠C = ∠C (Common angle)

∴ ΔBAC ~ ΔADC (AA similarity criterion)

∴ AB / AD = CA / CD = BC / CA

∴ CA / CD = BC / CA ( after cross multiplication)

⇒  CA² = CB.CD

                                - Hence Proved