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Let $\triangle ABC$ be a right triangle such that $B$ is a right angle. A circle with diameter of $BC$ meets side $AC% at $D$ If $AD = 1$ and 

$BD = 4,$

 then what is

$CD$

 ?

 Mar 8, 2020
 #1
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My Hint:

 

BDC is an inscribed angle in the circle with endpoints at the diameter. That means BDC is 180/2 - 90 degrees.

 

Knowing that, can you use similar triangles to figure out CD?

 Mar 8, 2020

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