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Bunuel

If the area of triangle ABC is 15, side AC has length 10, and segment BD is perpendicular to segment AC, what is the length of segment BD?


A. 9
B. 6
C. 5
D. 3
E. 1.5


Attachment:
image006.jpg

Since BD is perpendicular to AC and if we consider AC as the base of the triangle, then BD is the height of the triangle. Thus, we have:

½(AC)(BD) = Area of triangle ABC

½(10)(BD) = 15

5(BD) = 15

BD = 3

Answer: D
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