Pregunta
The medium side of a
right triangle is 5 cm .
Find the lengths of the other
two sides.
Find the lengths of the other
two sides.
Ask by French Brooks. in the United States
Mar 14,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The other two sides are
cm and
cm.
Solución
-
In a
- - triangle, the side lengths are in the ratio where:- The side opposite
is the shortest and has length . - The side opposite
(the medium side) has length . - The hypotenuse (opposite
) has length .
- The side opposite
-
The problem states that the medium side is
cm. Thus, we set -
Solve for
: To rationalize the denominator: -
Therefore:
- The shortest side (opposite
) is - The hypotenuse (opposite
) is
- The shortest side (opposite
The lengths of the other two sides are
cm and
cm.
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Como
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The Deep Dive
In a
right triangle, the ratios of the lengths of the sides opposite the
,
, and
angles are
. If the medium side (the side opposite the
angle) is 5 cm, the side opposite the
angle would be
cm, and the hypotenuse (opposite the
angle) would be
cm.
So, the lengths of the sides are approximately
cm for the side opposite the
angle, 5 cm for the side opposite the
angle, and 10 cm for the hypotenuse.
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