Question

Find the slant height of the pyramid.

7 mm


6 mm


8 mm


5 mm

Answer 1

5 mm

Explanation:

Given:

A rectangular pyramid

h (height) = 4 mm

l (side length) = 6 mm

Find: s (slant height) - ?

There is a right triangle in the middle

The bottom leg is 3 mm, because it's half the side length of the square

According to that, we can find x by using the Pythagorean theorem:

`{x}^(2) = {3}^(2) + {4}^(2) = 9 + 16 = 25`

`x > 0`

`x = √(25) = 5`