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In the given figure, angle ABC=90^(@) an...

In the given figure, `angle ABC=90^(@) and BD bot AC`. If `BD=8 cm, AD=4 cm` find CD.

Text Solution

Verified by Experts

The correct Answer is:
`CD=16 cm`
In `Delta DBA and Delta DCB`, we have
`angle BDA= angle CDB`
and `angle DBA= angle DCB [ "each" =90^(@)-angleA]`.
`:. Delta DBA~ Delta DCB`.
`:. (BD)/(CD)=(AD)/(BD) rArr CD=(BD)/(AD)`
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