Q. 324.9( 8 Votes )
In the given figure, ∠BAC = 90° and AD ⊥ BC. Then,
A. BC • CD = BC2
B. AB • AC = BC2
C. BD • CD = AD2
D. AB • AC = AD2
∠ABD + ∠ BAD = 90°
∠ ABD + (90-∠CAD) = 90°
∠ ABD = ∠ DAC
In ΔBDA and Δ ADC,
∠ ABD = ∠ CAD
∠ BDA = ∠ ADC = 90°
Therefore, ΔBDA and Δ ADC are similar by AAA.
BD.CD = AD2
Therefore the correct option is (c).
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