Question

In triangle ABC b = 90° and m is the foot of the perpendicular from B to AC. If AM = 9 ,CM = 16 then bc =

Answer 1

Answer:

Given:

∠ABC=90o,BD⊥AC,

BD=8 and AD=4 as in diagram.

Let ∠ACB=x

⇒∠CBD=90−x

⇒∠ABD=x

⇒∠BAD=90−x

⇒ΔABC,ΔADB and ΔBDC are similar

⇒CDBD=DBAD

⇒CD8=84

⇒CD=48×8=16cm.

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