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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