Please help me! Please! I am so lost! Pythagorean Theorem! (The prism said to have an equilateral triangle base has the measurements shown)

Part A
Are the bases of the prism equilateral triangle‘s? Why or why not? Note: the bases of a triangular prism are triangles.

Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?

Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean theorem.
The length of both diagonals for each lateral side is 13 cm. From this can you prove that the lateral sides are rectangles? Why or why not?

Part D
Some of the measurements of the triangular prism with a right angle base are shown. What is the length of the hypotenuse of the base?

Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is the area?