the lateral area consists of 4 isosceles triangle faces.
the side length of the pyramid is the base of each face.
The slant height of the pyramid is the altitude of each face.
Looking sideways into the pyramid, the slant height is the hypotenuse of a right triangle whose base is 1/2 the side of the pyramid, and whose height is the height of the pyramid. so, the slant height s is
s^2 = 4^2 + 22^2
s = √500
so, the area of each face is 1/2 bh = 4√500 = 40√5
the lateral area of the pyramid is thus 160√5
Find the lateral area for the square pyramid.
Height: 22
Base: 8
Side: 8
I know the answer, I just want someone to show me how to actually calculate it to find the answer.
Thanks :)
1 answer
1 answer