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In the diagram below, line BC is an altitude of triangle ABD.What is the length of line CD? If necessary, round your answer to two decimal places.

In the diagram below line BC is an altitude of triangle ABDWhat is the length of line CD If necessary round your answer to two decimal places class=

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mreijepatmat


Method 1:
The altitude in a right triangle drawn from the vertex of the right angle to the hypotenuse is the geometric mean between the 2 segment of the hypotenuse:
32 = √([44)(CD]  → 32² = 44.CD & CD = 32²/44 = 23.27

Method 2
Triangles BCD & ACB are similar, then we can write:

BC/AC = CD/CB
32/44 = CD/32  → 32²/44 = CD & CD = 23.27