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snow_lady [41]
3 years ago
5

The altitude to the hypotenuse of a right triangle has a length of 12. what could be the lengths of the two segments of the hypo

tenuse ?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
5 0
The complete question in the attached figure

we know that
The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the two segments of the hypotenuse
h²=x*y
where
h is the length of t<span>he altitude to the hypotenuse
h=12
x and y are </span>the two segments of the hypotenuse
so
12²=x*y----------> 144=x*y

<span>the lengths of the two segments of the hypotenuse could be
x=6
y=24
x*y=144

the answer is
6 and 24</span>

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