document.write( "Question 936034: If we have a 90° triangle and one of the sides is 20x and the other is 9x find the hypotenus.The area is 720 cm^(2) \n" ); document.write( "

Algebra.Com's Answer #569441 by srinivas.g(540) $\"\"$ $\"About$

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one side = 20 x
\n" ); document.write( " other side = 9x
\n" ); document.write( "area = 720 cm^2
\n" ); document.write( " area = $\"+%281%2F2%29%2A+one+side+%2Aother+side\"$
\n" ); document.write( " 720 = $\"+%281%2F2%29%2A20x%2A9x\"$
\n" ); document.write( " $\"720+=+10x%2A9x\"$
\n" ); document.write( " $\"720+=+90+x%5E2\"$
\n" ); document.write( " divide with 90 on both sides
\n" ); document.write( " $\"+720%2F90+=++90+x%5E2+%2F90\"$
\n" ); document.write( " $\"+8+=+x%5E2\"$
\n" ); document.write( " as per Pythagorean theorem
\n" ); document.write( " $\"+hypotenuse+%5E2+=++base+%5E2%2B+height+%5E2\"$
\n" ); document.write( " so $\"hypotenuse+%5E2+=++oneside+%5E2%2B+otherside%5E2\"$
\n" ); document.write( " $\"+hypotenuse%5E2++=+%2820x%29%5E2%2B%289x%29%5E2\"$
\n" ); document.write( " $\"++hypotenuse%5E2++=+400+x%5E2%2B81+x%5E2\"$
\n" ); document.write( " $\"+hypotenuse%5E2+=481+x%5E2\"$
\n" ); document.write( " but $\"+x%5E2+=8\"$
\n" ); document.write( " $\"+hypotenuse%5E2+=481+x%5E2\"$
\n" ); document.write( " $\"+hypotenuse+%5E2++=+481%2A8\"$
\n" ); document.write( " $\"+hypotenuse%5E2+=3848\"$
\n" ); document.write( " $\"+hypotenuse++=+sqrt%283848%29\"$
\n" ); document.write( " hypotenuse = 62.03 cm
\n" ); document.write( "Result : Hypotenuse = 62.03 cm
\n" ); document.write( " \n" ); document.write( "

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