Solve the Problem

Multiple Choice

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. The diagonal of a rectangle is 354 millimeters, while the longer side is 274 millimeters. Find the shorter side of the rectangle and the angles the diagonal makes with the sides. Round the side length to the nearest millimeter. Round the angles to the nearest degree. ​

A) The side is 224 mm; the angles are 59° and 31°.
B) The side is 213 mm; the angles are 59 ° and 31 ° .
C) The side is 213 mm; the angles are 51 ° and 39 ° .
D) The side is 224 mm; the angles are 51 ° and 39 ° .
E) The side is 224 mm; the angles are 56 °  and 34 ° .