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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC = 14 and DC 4, what is the length of AC? (Note: the figure is not drawn to scale.)
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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC = 14

and DC 4, what is the length of AC? (Note: the figure is not drawn to scale.)

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If BC = 14 and DC-example-1
User Khurram Shehzad
by
3.3k points

1 Answer

7 votes

Answer:

49

Explanation:

∠BAD = ∠DBC (90-∠ABD)

∠C = ∠C

ΔABC similar to ΔBDC

AC/BC = BC/AC

x/14 = 14/4

x = 14*14/4 = 49

User John Vinyard
by
3.4k points
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