document.write( "Question 967208: Hi! I had a question about the Pythagorean Theorem. One of the legs of a right triangle is 15 inches long and the sum of the other leg and the hypotenuse equals 25 inches. Determine the length of the hypotenuse and the unknown leg? \n" ); document.write( "
Algebra.Com's Answer #591177 by rothauserc(4718)\"\" \"About 
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let x be length of other side, h be length of hypotenuse
\n" ); document.write( "x + h = 25
\n" ); document.write( "15^2 + x^2 = h^2
\n" ); document.write( "we have two equations in two unknowns
\n" ); document.write( "solve first equation for x and substitute for x in second equation
\n" ); document.write( "15^2 + (25-h)^2 = h^2
\n" ); document.write( "225 + 625 -50h +h^2 = h^2
\n" ); document.write( "subtract h^2 from both sides of =
\n" ); document.write( "850 -50h = 0
\n" ); document.write( "add 50h to both sides of =
\n" ); document.write( "50h = 850
\n" ); document.write( "h = 17, therefore
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\n" ); document.write( "hypotenuse is 17 inches and the other leg is 25-17 = 8 inches
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\n" ); document.write( "to check answer substitute in second equation
\n" ); document.write( "15^2 + 8^2 = 17^2
\n" ); document.write( "225 + 64 = 289
\n" ); document.write( "289 = 289
\n" ); document.write( "our answer checks\r
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