Mathematics
In the given figure, ∠ABC = 90° and BD ⟂ AC. If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.
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Answer
We have, ∠ABC = 90° and BD ⟂ AC
In ΔABC and ΔBDC,
∠ABC = ∠BDC [Each 90°]
∠ACB = ∠BCD [Common]
∴ ΔABC ∼ ΔBDC (By A.A. axiom)
We know that,
Corresponding sides of similar triangles are proportional.
Hence, BC = 8.1 cm.
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