Determine the perimeter of the triangle to the nearest whole unit .

14

Step-by-step explanation:

To find the perimeter, you need to add the lengths of each side.

In order to find the length of each side, imagine each side of the given triangle is the hypotenuse of an imaginary triage and use the Pythagorean Theorem (a² + b² = c²).

For the top side, I see an imaginary triangle with one side of 3 and the other side of 1. This means the length of the top of the given triange is √10:

3² + 1² = c²

9 + 1 = c²

10 = c²

√10 = c

For the left side, my imaginary triangle has one side of 5 and the other is 1. The length of this side is √26:

5² + 1² = c²

25 + 1 = c²

26 = c²

√26 = c

For the right side, I see a triange with two sides of 4 and the hypotenuse is √32.

This means the triangle in our question has side of √10, √26, and √32

If I add all of these up on a calculator, I get 13.918 which rounds up to 14 because the question wants the nearest whole unit.