document.write( "Question 705207: A right triangle is inscribed in a circle of radius 7.5 cm. One of its sides is 15 cm long and its area is 54 square cm. Find the length of one side of the triangle. \n" ); document.write( "
Algebra.Com's Answer #434608 by ankor@dixie-net.com(22740)\"\" \"About 
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A right triangle is inscribed in a circle of radius 7.5 cm.
\n" ); document.write( " One of its sides is 15 cm long and its area is 54 square cm.
\n" ); document.write( " Find the length of one side of the triangle.
\n" ); document.write( ":
\n" ); document.write( "The 15 cm side is the diameter (2*7.5), the longest possible side, therefore
\n" ); document.write( "it has to be the hypotenuse
\n" ); document.write( "Let other two sides = a & b
\n" ); document.write( ":
\n" ); document.write( "Area of the right triangle: .5(a*b) = 54
\n" ); document.write( "a * b = 54*2
\n" ); document.write( "a * b = 108
\n" ); document.write( "b = 108/a
\n" ); document.write( ":
\n" ); document.write( "Pythagoras
\n" ); document.write( "a^2 + b^2 = 15^2
\n" ); document.write( "a^2 + b^2 = 225
\n" ); document.write( "replace b with 108/a
\n" ); document.write( "a^2 + (108/a)^2 = 225
\n" ); document.write( "a^2 + (11664/a^2) = 225
\n" ); document.write( "multiply by a^2
\n" ); document.write( "a^4 + 11664 = 225a^2
\n" ); document.write( "a^4 - 225a^2 + 11664 = 0
\n" ); document.write( "Solve this on your graphing calc
\n" ); document.write( "Two solutions
\n" ); document.write( " a = 9, then b = 12
\n" ); document.write( " a = 12 then b = 9 \n" ); document.write( "
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