i need help with this MATH.. can u help me? thanks... i appreciate it?

Question

this is the assignment:

find the lateral area of a right triangle prism with a height of 30 centimeters and a right triangular base with a leg of 12 centimeters and the hypotenuse of 13 centimeters


thanks again!

Answer 1

You should recognize the base as being a Pythagorean triple:
5^2 + 12^2 = 13^2
25 + 144 = 169
So the other leg is 5cm
The formula for lateral area is:
A(lateral) = (perimeter of base)(height)
A(lateral) = (5 + 12 + 13)(30)
A(lateral) = 30(30)
A(lateral) = 900cm^2