A right pyramid with a square base has a base edge length of 24 feet and slant height of 20 feet. The height of the pyramid in feet?
Solution:
As represented in the diagram,
Base length of the pyramid = 24 feet
Slant height = 20 feet
Triangle ACB represents a right angled triangle.
Therefore using Pythagoras theorem,
AB2= AC2 + CB2
202 = AC2 + (24/2)2
400 = AC2 + 144
AC2= √(400-144) = √256
= 16 feet
A right pyramid with a square base has a base edge length of 24 feet and slant height of 20 feet. The height of the pyramid in feet?
Summary:
The height of the right pyramid with a square base has a base length of 24 feet and slant height of 20 feet is 16 feet.