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Taya2010 [7]
3 years ago
15

In the right triangle below, an altitude is drawn to the hypotenuse. Solve for x.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
4 0

Answer:

x = 3√7

Step-by-step explanation:

From the right triangle given in the picture,

Altitude or height of the triangle (AD) = x

Base or hypotenuse of the given triangle (BC) = 16

Length of segment BD = 16 - 7 = 9

By using geometric mean theorem in the given triangle,

\frac{AD}{BD}=\frac{DC}{AD}

(AD)² = (BD)(CD)

x² = 9×7

x = √63

x = 3√7

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