Find the following measure for this figure. slant height = ?

Solution:

Given is a square pyramid, with height h = 12 units and base length = 10 units

From the right triangle, we can determine the slant height.

Opposite, a = 12 units.

Adjacent, b = 10/2 = 5 units.

We have to find the slant height. i.e. hypotenuse.

Let the slant height be l.

By pythagoras theorem,

l² = a² + b²

So, l² = (12)² + (5)²

l² = 144 + 25

l² = 169

Taking square root,

l = √169

l = 13 units.

Therefore, the slant height is 13 units.

Find the following measure for this figure. slant height = ?

Summary:

The slant height of the figure is 13 units.