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The square pyramid shown below has a base with sides of 10 units. The slant height of the pyramid is 8 units. What is the vertical height, h?

Answer :

Make a right triangle by using half the base and using the Pythagorean theorem calculate the height.

Height = sqrt(8^2 - 5^2)

Height = sqrt(64 - 25)

Height = sqrt(39)

Height = 6.245 ( Round the answer as needed).