For part A, use the Pythagorean Theorem.
a.) Since we see that the triangle is made up of two right triangles, simply subtract half the leg from the length of the hypotenuse.
10/2 = 5
13² - 5² = 169 - 25 = √144 = 12 centimeters cubed for the height.
b.) For this, we need to find the surface area of the prism. The surface area of a triangular prism can be found using the formula:
Surface area (SA) = 10(12) + (10 + 13 + 13)(20)
=120 + 660 = 780 cm²
