Q. 9

In the given figure, ABC = 90° and BD AC. If BD = 8 cm, AD = 4 cm, find CD.


Answer :

Given that, ABC = 90°

AD = 4 cm


BD = 8 cm


In order to find CD, we need to prove that ∆BDC and ∆ABC are similar.


BDC = ADB = 90°


DBA = DCB


We have proved ∆DBA ∆DCB, by AA-similarity criteria.


So we can write,





CD = 16


Hence, CD = 16 cm.


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