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SOLUTION: I have a 30-60-90 triangle, and the long leg is 33 degrees. How do I find the short leg and hypotenuse?
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Question 701683
:
I have a 30-60-90 triangle, and the long leg is 33 degrees. How do I find the short leg and hypotenuse?
Found 2 solutions by
MathLover1, MathTherapy
:
Answer by
MathLover1(11324)
(
Show Source
):
You can
put this solution on YOUR website!
A
triangle is a right triangle whose internal angles are
,
and
.
The three sides of a
triangle have the following characteristics:
All three sides have
lengths.
The shorter leg,
, is half the length of the hypotenuse,
. That is,
The longer leg's length,
, is the shorter leg times
. That is,
so, you are given
then, you have the shorter leg
...=>...
...=>...
and the longer leg's length is
..=>...
...=>...
check result using Pythagorean theorem:
...round decimal to whole number
Answer by
MathTherapy(4047)
(
Show Source
):
You can
put this solution on YOUR website!
I have a 30-60-90 triangle, and the long leg is 33 degrees. How do I find the short leg and hypotenuse?
When the longer leg of a 30-60-90 triangle is known, its shorter leg =
, or in this case:
-----
----
-----
-----
-----
, or
When the longer leg of a 30-60-90 triangle is known, its hypotenuse =
, or in this case:
, or
, or 2 *19.05255888 ≈
You can do the check!!
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