In the given figure, ∠ABC = 90° and BD⊥AC. If BD = 8cm, AD = 4cm – InterviewSolution

InterviewSolution

1.

In the given figure, ∠ABC = 90° and BD⊥AC. If BD = 8cm, AD = 4cm, find CD.

Answer»

It is given that ABC is a right angled triangle

and BD is the altitude drawn from the right angle to the hypotenuse.

In ∆ DBA and ∆ DCB, we have :

∠BDA = ∠CDB

∠DBA = ∠DCB = 90°

Therefore, by AA similarity theorem, we get :

∆DBA - ∆ DCB

⇒ BD/CD = AD/BD

⇒ CD = BD^2/AD

CD = 8×8/4 = 16 cm

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