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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.

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 25 units as shown Fi class=

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Answer:

Length of side AD is 6.5 units.

Step-by-step 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.

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