Question

Madisyn is planting crops in a triangular garden. She is trying to find the amount of fencing

she needs to block off the crops from animals. The triangular garden can be seen below.
What is the amount of fencing that Madisyn needs?
А
B
5
1
-25
-2 -15 -1050
05
15
2
25
3
35
5
55
6
65
С
Madisyn needs
units of fencing

Answer 1

Fencing needed = 20.8 units

Explanation:

From the figure attached,

Given: Triangle ABC with vertices A(0, 6), B(6, 5) and C(5, -1).

We have to find the length of fence required to cover the triangular garden.

Amount of fencing required = Perimeter of the triangular garden

Perimeter of the garden = AB + BC + AC

Formula to get the distance between A and B,

d =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

AB =
`√((0-6)^2+(6-5)^2)` =
`√(37)`

BC =
`√((6-5)^2+(5+1)^2)` =
`√(37)`

AC =
`√((0-5)^2+(6+1)^2)` =
`√(74)`

Perimeter =
`√(37)+√(37)+√(74)`

= 6.08 + 6.08 + 8.60

= 20.76

≈ 20.8 units

Therefore, amount of fencing required to cover the triangular park is 20.8 units.