<PRE><B>Question 439698</B>
Note that the triangle determined by the hypotenuse and the sides of length 7 and 24 is a right triangle, with 7 and 24 as the base and the diagonal as the hypotenuse. Unless you recall the 7-24-25 right triangle, we can solve for the diagonal d using the Pythagorean theorem:


*[tex \LARGE d^2 = \sqrt{7^2 + 24^2}]


*[tex \LARGE d^2 = \sqrt{625}]


*[tex \LARGE d = 25]</PRE>