document.write( "Question 559228: For a 30-60-90 triangle how do you explain S(short leg) in terms of H(Hypotenuse)? \n" ); document.write( "

Algebra.Com's Answer #363327 by KMST(5328) $\"\"$ $\"About$

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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.
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The black triangle plus its red reflection form an equilateral triangle.
\n" ); document.write( "The hypotenuse of the original right triangle is one side of the equilateral triangle.
\n" ); document.write( "The short leg of the original right triangle is half of one side of the equilateral triangle, so it is half of the hypotenuse;
\n" ); document.write( "short leg = (1/2) * hypotenuse \n" ); document.write( "

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