document.write( "Question 499316: the length of the hypotenuse of a right triangle is 13 cm, and the length of one leg is 12 cm. What is the area of the triangle? \n" ); document.write( "
Algebra.Com's Answer #337543 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! Using the Pythagorean Theorem, we know \n" ); document.write( "c^2 = a^2 + b^2 \n" ); document.write( ". \n" ); document.write( "c^2 = 13^2 \n" ); document.write( "c^2 = 169 \n" ); document.write( ". \n" ); document.write( "a = base \n" ); document.write( "a = 12 \n" ); document.write( "a^2 = 12^2 \n" ); document.write( "a^2 = 144 \n" ); document.write( ". \n" ); document.write( "b = height \n" ); document.write( "b^2 = c^2 - a^2 \n" ); document.write( "b^2 = 169 - 144 \n" ); document.write( "b^2 = 25 \n" ); document.write( "b = 5 \n" ); document.write( ". \n" ); document.write( "Area = 1/2*base*height. \n" ); document.write( "A = 1/2*12*5 \n" ); document.write( "A = 30 sq cm \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |