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Question

In a ABC,ABC=90 and BD is perpendicular to AC. If BD=8 cm and AD=4cm then find the length of CD?

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Solution

Given:
ABC=90o,BDAC,
BD=8 and AD=4 as in diagram.
Let ACB=x
CBD=90x
ABD=x
BAD=90x
ΔABC,ΔADB and ΔBDC are similar
BDCD=ADDB
8CD=48
CD=8×84=16cm.

1257520_1328137_ans_00876e19742747e78ea01485b986409e.PNG

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