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 ?
1 answer:
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>
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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Step-by-step explanation:
Since, x=8 and x=-5 are the roots.
Therefore, (x - 8) & (x - 5) will be factors.
Hence, required quadratic equation can be given as: