document.write( "Question 668691: Ok I have a problem that deals with finding the the length of a hypotenuse with one if my legs being 3 radical 2. I know that the two legs are congruent because of it being an isosceles right triangle. What would I show the hypotenuse as because it say that x: x: (x radical 2). How would I show it? \n" ); document.write( "

Algebra.Com's Answer #415770 by swincher4391(1107) $\"\"$ $\"About$

You can put this solution on YOUR website!
If you have an isosceles right triangle, then your legs are equal, your hypotenuse is different. By our pythagorean theorem:\r
\n" ); document.write( "\n" ); document.write( "a^2 + b^2 = c^2 but a =b so:\r
\n" ); document.write( "\n" ); document.write( "a^2 + a^2 = c^2 \r
\n" ); document.write( "\n" ); document.write( "2a^2 = c^2\r
\n" ); document.write( "\n" ); document.write( "2(3*sqrt(2))^2 = c^2\r
\n" ); document.write( "\n" ); document.write( "2 * 3^2 * sqrt(2)^2 = c^2\r
\n" ); document.write( "\n" ); document.write( "2* 9 * 2 = c^2\r
\n" ); document.write( "\n" ); document.write( "36 = c^2\r
\n" ); document.write( "\n" ); document.write( " $\"c+=+6+=+%283+%2A+sqrt%282%29%29+%2A+sqrt%282%29\"$ <--- the form you mentioned \n" ); document.write( "

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