Question

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

Answer 1

Answer:

Fencing needed = 20.8 units

Step-by-step 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 = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

AB = $\sqrt{(0-6)^2+(6-5)^2}$ = $\sqrt{37}$

BC = $\sqrt{(6-5)^2+(5+1)^2}$ = $\sqrt{37}$

AC = $\sqrt{(0-5)^2+(6+1)^2}$ = $\sqrt{74}$

Perimeter = $\sqrt{37}+\sqrt{37}+\sqrt{74}$

                = 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.