Q1 of 53 Page 153

∠B is a right angle in ΔABC. and D. If AD = 4DC, prove that BD = 2DC.

1.JPG


m∠B = 90



AD = 4DC (Given) …Equation (i)


∴ BD2 = AD × DC


⇒ BD2 = 4DC2 (From Equation (i))


Taking Square Root both sides we get


∴ BD = 2DC


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