Question

Pls help with this homework question

Answer 1

h = 12 feet

Explanation:

using the right triangle shown in the diagram.

the base of the triangle is half the measure of the base of the square side.

then base of triangle =
`(1)/(2)` × 32 = 16 feet and hypotenuse = 20 feet

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² + 16² = 20²

h² + 256 = 400 ( subtract 256 from both sides )

h² = 144 ( take square root of both sides )

h =
`√(144)` = 12

the height h of the pyramid is 12 feet