This is the hypotenuse of a right triangle with legs of length 3 and 4. Use
the Pythagorean theorem: a^2 + b^2 = c^2 , or 32 + 4^2 = c^2 . This diagonal is
therefore
(It’s also a special 3-4-5 right triangle.) Now, the diagonal of the solid is
the hypotenuse of the right triangle with legs of length 5 and 7. In the
figure, segment AE is now the leg of a second right triangle, whose
hypotenuse is the length to be solved for. Use the Pythagorean theorem:
52 + 7^2 = c^2 ;
36 . B
Because you are given the ratio of AB to AC, first set up a proportion to
