SOLUTION: For a 30-60-90 triangle how do you explain S(short leg) in terms of H(Hypotenuse)?

Question 559228: For a 30-60-90 triangle how do you explain S(short leg) in terms of H(Hypotenuse)?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If you draw the relection of the triangle on the long leg, you will have two congruent triangles that form a triangle with three 60 degree angles.
The black triangle plus its red reflection form an equilateral triangle.
The hypotenuse of the original right triangle is one side of the equilateral triangle.
The short leg of the original right triangle is half of one side of the equilateral triangle, so it is half of the hypotenuse;
short leg = (1/2) * hypotenuse
RELATED QUESTIONS
the hypotenuse of a 30-60-90 triangle measures 2 feet. how long is the short leg of this... (answered by richwmiller)

given the short leg of a 30-60-90 triangle, how do you find the other two... (answered by josmiceli)

Find the short leg of a 30-60-90 triangle,if the hypotenuse measures 7... (answered by CharlesG2)

My geometry teacher today gave us a lesson on the 45-45-90 rule and the 30-60-90 rules.... (answered by MRperkins)

I have a 30-60-90 triangle, and the long leg is 33 degrees. How do I find the short leg... (answered by MathLover1,MathTherapy)

In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 7... (answered by amfagge92,MathTherapy)

The short leg of a triangle is 1 cm on a 30, 60, 90 triangle. What is the... (answered by backback)

doing special right triangles (30-60-90) - if you are given a 30-60-90 triangle and the... (answered by josmiceli)

What is the length of the short leg of a 30 60 90 triangle if the hypotenuse is... (answered by Alan3354)