Question

What number represents the slant height of the pyramid?

A. 10.77 m
B. 10 m
C. 8 m
D. 90 m

Answer 1

The answer is A. 10.77 m

Answer 2

For a better understanding of the solution/expression provided here please find the diagram of the side view of the pyramid in the attached file.

BC is the base.
`BC=8`.

AP is the height.
`AP=10`. Therefore,
`PC=4`

As we can see
`\Delta APC` is a right triangle where, AC which is the hypotenuse of the triangle is the slant height of the pyramid.

Thus, applying the Pythagoras' Theorem in
`\Delta APC` we get:

`AC=√((AP)^2+(PC)^2)=√(10^2+4^2)=√(116)\approx10.77 m`

Therefore the slant height of the pyramid is represented by 10.77 m. Thus, Option A is the correct option.