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:

$AC=\sqrt{(AP)^2+(PC)^2}=\sqrt{10^2+4^2}=\sqrt{116}\approx10.77 m$

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