SOLUTION: I have a 30-60-90 triangle, and the long leg is 33 degrees. How do I find the short leg and hypotenuse?

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(20850) (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(10552) (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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