Question

In ∆ABC,B=90°,BD perpendicular to AC,
and BD = 4cm. then what is the
length of CD?​

Answer 1

Given ∆ABC =90°,BD is Perpendicular to AC,AD=4,as shown this.

Let∆ACB=x, ∆CBD=90-x

∆ABC=x, ∆BAD=90-x

∆ABC,∆ADB, and∆BDA are similar.

BD|CD=AD|DB.

8|CD=4|8.

CD=8×8|4=16..

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