Question

A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid to vertex D is 2.5 units, as shown. Find the length of segment AD, in units.

Answer 1

Length of side AD is 6.5 units.

Explanation:

Let the center of the rectangular base of the given pyramid is O,

From the picture attached,

m∠AOD = 90°

By applying Pythagoras theorem in the right triangle AOD,

AD² = AO² + OD²

AD² = 6² + (2.5)²

AD = √42.25

AD = 6.5 units

Therefore, length of side AD is 6.5 units.