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Gelneren [198K]
2 years ago
7

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 3cm and 27cm long. Find the length of th

e altitude to the hypotenuse.

Mathematics
1 answer:
marissa [1.9K]2 years ago
3 0
To find the length of the altitude, we have to use the ratios of the similar sides.
Let the length of altitude=x
Ratio of sides:
\frac{x}{3} = \frac{27}{x}  \\
Cross \ multiply \\
 x^{2} =81 \\
Take \ square \ root.\\
 \sqrt{x^2}= \sqrt{81} \\
x=9 \\
So length of altitude is 9 cm.

Answer: 9 cm

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