Question

Find the following measure for this figure.

Slant height =
15.6 units
13 units
2√(11) units

Answer 1

The correct answer is Slant height =13 units

Explanation:

From the figure we can see a square pyramid

Points to remember

Hypotenuse² = Base² + Height²

To find the slant height

Fro figure we can see a right angles triangle with,

Base = 10/2 = 5 units and Height = 12 units

We have to find Hypotenuse (Slant height)

Hypotenuse² = Base² + Height²

Slant height² = 5² + 12² = 25 + 144 = 169

Slant height = √169 = 13 units

Therefore the slant height = 13 units

Answer 2

Answer: second option.

Explanation:

Let's represent the slant height of the figure with:
`l`

Then, to find the value of the slant height you must apply the Pythagorean Theorem, where:

`l` is the hypotenuse and the other legs are 12 units and 5 units (
`(10units)/(2)=5units`)

Therefore, you obtain that the slant height of the figure is the shown below:

`l=√((5units)^2+(12units)^2)\\l=13units`