document.write( "Question 202920This question is from textbook Geomery
\n" ); document.write( ": A 45- 45- 90 triangle has a hypotenuse of length 18 units. What is the length of one of the legs? If necessary, round your answer to two decimal places \n" ); document.write( "

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The 45-45-90 triangle is an isocseles triangle so the two legs are of equal length. Let x = the length of each leg. Use the Pythagorean theorem to find x.
\n" ); document.write( " $\"c%5E2+=+a%5E2%2Bb%5E2\"$ C = 18, a = x, and b = x, so...
\n" ); document.write( " $\"18%5E2+=+x%5E2%2Bx%5E2\"$ Simplify.
\n" ); document.write( " $\"324+=+2x%5E2\"$ Divide both sides by 2.
\n" ); document.write( " $\"162+=+x%5E2\"$ Take the square root of both sides.
\n" ); document.write( " $\"highlight%28x+=+12.73%29\"$ \n" ); document.write( "

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