document.write( "Question 829358: In an isosceles right_triangle,the square of the hypotenuse is 98cm.find the length of the congruent sides \n" ); document.write( "

Algebra.Com's Answer #499818 by JulietG(1812) $\"\"$ $\"About$

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An isosceles triangle has two equal sides. In a right triangle, a^2 + b^2 = c^2. We're given c^2 (the hypotenuse) as 98cm. Because it's an isosceles, we know that a & b are the same length.\r
\n" ); document.write( "\n" ); document.write( "Here's our equation:
\n" ); document.write( "a^2 + b^2 = 98
\n" ); document.write( "Since they are equal, it becomes:
\n" ); document.write( "2a^2 = 98
\n" ); document.write( "Divide each side by 2:
\n" ); document.write( "a^2 = 49
\n" ); document.write( "Take the square root of each side:
\n" ); document.write( "a = 7
\n" ); document.write( "If a = 7, then b = 7.
\n" ); document.write( "Your sides are 7, 7, and (square root of 98, or 9.9, but your teacher likely wants you to write it as the square root of 98) \n" ); document.write( "

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