document.write( "Question 539623: it says determine whether each triangle with sides of given lengths is a right triangle the sides of given lengths are 5 inches 10 inches and 12 inches \n" ); document.write( "
Algebra.Com's Answer #353485 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
If you recall your multiplication tables, you can tell at first glance that 5, 10, and 12 do not define a right triangle.
\n" ); document.write( ".
\n" ); document.write( "We have the Pythagorean Theorem to guide us in solving right triangles.
\n" ); document.write( "c^2 = a^2 + b^2, where c = hypotenuse
\n" ); document.write( ".
\n" ); document.write( "5^2 = 25
\n" ); document.write( "10^2 = 100
\n" ); document.write( "12^2 = 144
\n" ); document.write( ".
\n" ); document.write( "144 is not equal to 100 + 25
\n" ); document.write( ".
\n" ); document.write( "There are several right triangles worth remembering.
\n" ); document.write( "1, 1, sqrt(2) is an isosceles triangle
\n" ); document.write( "1, sqrt(3), 2 is a 30-60-90 triangle
\n" ); document.write( "3, 4, 5 is a classic that is often used in carpentry
\n" ); document.write( "5, 12, 13 is good to remember, too
\n" ); document.write( ".
\n" ); document.write( "done.
\n" ); document.write( "
\n" ); document.write( "
\n" );