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)![]() ![]() ![]() 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( " |