Q. 9

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

Given that, ABC = 90°

BD = 8 cm

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

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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