Q. 84.5( 8 Votes )

In the given figu

Answer :

Given that, ABC = 90°

AB = 5.7 cm

BD = 3.8 cm

CD = 5.4 cm

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

BDC = ABC = 90°

ACB = DCB [They are common angles]

By this we have proved ∆BDC ∆ABC, by AA-similarity criteria.

So we can write,

BC = 8.1

Hence, BC = 8.1 cm.

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