A right square pyramid has a square base of side and perpendicular height .
MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
A right square pyramid has a square base of side 24cm and perpendicular height 18cm.
(i) Find the length of the slant edge, that is, the straight line joining the apex to any vertex of the base.
(ii) The midpoint of one side of the base is joined to the apex. Find the length of this segment.
(iii) Compare the two lengths obtained and comment on which is longer, supporting your conclusion with numerical values.