BrownBeauty2461 BrownBeauty2461
  • 04-05-2018
  • Mathematics
contestada

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 hypotenuse ?

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calculista
calculista calculista
  • 16-05-2018
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 the altitude to the hypotenuse
h=12
x and y are 
the two segments of the hypotenuse
so
12²=x*y----------> 144=x*y

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

the answer is
6 and 24
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Answer Link

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