document.write( "Question 999740: A rectangular block stands 12 inches tall with a diagonal measuring 13 inches. What is is the length of the base? \n" ); document.write( "
Algebra.Com's Answer #617294 by addingup(3677)![]() ![]() You can put this solution on YOUR website! A rectangle split diagonally gives you two right triangles. \n" ); document.write( "---------------------------------- \n" ); document.write( "Pythagoras: \n" ); document.write( "a^2+b^2= c^2 This is used to find the hypotenuse of the right triangle. Since we want the short side, let's divide both sides by b^2: \n" ); document.write( "a^2= c^2/b^2 Now let's use our numbers: \n" ); document.write( "a^2= 13^2/12^2 \n" ); document.write( "a^2= 169/144 \n" ); document.write( "a^2= 25 Take the square root on both sides: \n" ); document.write( "a= 5 is the length of the base \n" ); document.write( " |