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

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asked Jul 22, 2019 212k views

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StackEdd · Answer 1 · 2019-07-29T07:03:36+0000

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:

$(x)/(3) = (27)/(x) \\ Cross \ multiply \\ x^(2) =81 \\ Take \ square \ root.\\ √(x^2)= √(81) \\ x=9 \\$
So length of altitude is 9 cm.

Answer: 9 cm

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments-example-1

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

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