Question

In the figure, in ABCpoint Don
side BC is such that,
ZBACHADO
Prove that, CA CBX CD​

Answer 1

Answer:

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Step-by-step explanation:

Given : ∠BAC=∠ADC.

To Prove : CA2=CB×CD

Proof  : In ΔABC and ΔDAC

∠BAC=∠ADC(Given)

∠C=∠C (Common) 

By AA test of similarity.

ΔABC∼ΔDAC

∴ACBC=DCAC (Corresponding side are proportional) 

⇒AC2=BC×DC 

Hence proved.

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