Question

Find the PERIMETER of the triangle below. Round your answer to the nearest tenth.

Answer 1

16.4 units

Explanation:

Refer to the attached image, just find the hypotenuses of the three additional triangles, and add them up to become the perimeter of the yellow triangle.

Using Pythagoras Theorem:

Hypotenuse of the red triangle

`= \sqrt{ {3}^(2) + {5}^(2) }`

`= √(34)`

Hypotenuse of the blue triangle

`= \sqrt{ {3}^(2) + {3}^(2) }`

`= √(18)`

Hypotenuse of the green triangle

`= \sqrt{ {2}^(2) + {6}^(2) }`

`= √(40)`

The perimeter of the yellow triangle

`= √(34) + √(18) + √(40)`

`= 16.398...`

= 16.4 units

Answer 2

Hi how you doing? Be safe