E. Illustrate the figures and solve.
1. A parallelogram has sides of 4 m and 7 m. If the measure of the angle formed by these sides is 72.45°, then how long are its diagonals?
2. The sides of a regular octagon measure 20 cm. Find the length of the segment joining one of its vertices to the center of the polygon.
3. Find the measures of the angles of a triangle whose dimensions are x, 3x, and 2x + 7, and whose perimeter is 37 units.
4. If the third side of a triangular lot is 8 km and the lengths of the other two sides are 4 km and 5 km, what is the angle formed by the longest side and the shortest side?
5. The perimeter of a triangle is 76 m. If the longest side is twice as long as the shortest side decreased by 9, and the shorter side is 5 more than the shortest side, find (a) the integral lengths of the sides of the triangle and (b) the measures of its angles.​