Question

You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.​

Answer 1

24 m

Explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

`distance = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Let,

`(10, 0) = (x_1, y_1)`

`(16, 8) = (x_2, y_2)`

`d = √((16 - 10)^2 + (8 - 0)^2)`

`d = √((6)^2 + (8)^2)`

`d = √(36 + 64) = √(100)`

`d = 10`

Length of fencing = 6 + 8 + 10 = 24 m