I have a problem in mathematics in solving the problem and I ask for help because I have an exam for the problem in the subject MG102 3D Pythagoras for the tenth grade.


### Problem:

A piece of cheese has the shape of a triangular prism. Its base is an isosceles triangle with side lengths of 10 cm, 10 cm, and 4 cm, and its height is 5 cm.

a. Draw a labelled diagram of the triangular prism, showing all dimensions.

b. Draw a labelled diagram of:
i. the front view
ii. the top view (or base view)

c. On your diagram of the front view, draw a diagonal.
i. Find the length of this diagonal.

d. Calculate:
i. the height of the base if the area of the base.