To calculate the lateral area of a prism, we can use the known formula where P is the perimeter of the base and h is the height.
L=Ph
We are given two lengths of the base's sides, a= 7 and b= 8. The base of a given prism is a right triangle, so we can use The Pythagorean Theorem in order to calculate the missing length.
Now, let's add these three side lengths to find the perimeter of the base.
P&=7+8+sqrt(113)
P&=15+sqrt(113)cm
Now we have enough information to find the lateral area of the prism. Let's substitute 15+sqrt(113) and 10 for P and h, respectively.
