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Question

ACB=90o and CDAB, prove that CD2=BD×AD.
1578839_0895a9b4cd1b459682185f3cb2293710.png

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Solution

According to property associated with Altitudes in Right Angled Triangle
The Altitude to Hypotenuse Divides the triangle into 2 Similar triangles
ΔADCΔCDB
So CDAD=BDCDCD2=BD×AD

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