Answer:
CD = 6
Step-by-step explanation:
In right triangle ABC, altitude CD is drawn to hypotenuse AB. If AD = 3 and DB = 12, you want to know the length of altitude CD.
Similar triangles
The triangles ABC, ACD, and CBD are similar. In these similar triangles the ratios of long side to short side are the same for all:
CD/AD = DB/CD
CD² = AD·DB
CD = √(3·12) =√36
CD = 6
The length of altitude CD is 6.
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