In right triangle ABC, altitude CD with lengthhis drawn to its hypotenuse. We also knowAD = 12 and DB= 3. What is the value of h?

SOLUTION
Using the properties of similarity of two triangles
For triangle BCA, let B be the given angle, the opposite is |AC|, Hypotenues is |AB| and Adjacent is |BC|
For triangle BCD, B is the given angle, The opposite is |CD|=h, the hypotenuse is |CB| and Adjacent is |BD|
Comparing the ratios of the side, we have
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