One of the most important question from ML Aggarwal in which we are to prove that Ac^2is equal to DC X BC, if angleADC equal to angleBAC
ML Aggarwal Avichal Publication, Class 10, chapter 13, Similarity, question 9b
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In the given figure angle ADC equal to angle BAC prove that Ac^2is equal to DC X BC
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In △ADC and △BAC
∠ADC=∠BAC (Given)
∠C is Common
∴ by AA Criterion of Similarity, △ADC ∼ △BAC
⇒AD/BA=DC/AC=AC/BC
⇒DC/AC=AC/BC
∴ AC^2=CB.CD