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Question
In the given figure, AB and DE are perpendiculars to BC.
If AB = 6 cm, DE = 4 cm and AC = 15 cm. Calculate CD.
Solution
In ΔABC and ΔDEC,
∠ABC = ∠DEC ...(both are right angles)
∠ACB = ∠DCE ....(common angles)
ΔABC ∼ ΔDEC ...(AA criterion for similarity)
`=> (AB)/(DE) = (AC)/(CD)`
`=> 6/4 = 15/(CD)`
`=>` CD = 10 cm
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