Mathematics: Madisyn is planting crops in a triangular garden. The triangular garden can be seen below. What is the amount of fencing that Madisyn needs?

sorry i cant answer thisStep-by-step explanation:im here for the points thanks...

Madisyn is planting crops in a triangular garden.

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06.02.2022

The amount of fencing Madisyn needs is approximately 20.77 m

Step-by-step explanation:

The coordinates of the vertices of the triangular garden are;

A(0, 6), B(6, 5), and C(5, -1)

The length of the sides of the triangle can be found through the given coordinates and the distance between coordinates formula presented as follows;

$Distance \ between \ points \ given \ the \ coordinates = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

Therefore, the length of AB is $\sqrt{\left (5-6 \right )^{2}+\left (6-0 \right )^{2}} = \sqrt{37}$

The length of BC is $\sqrt{\left (5-(-1) \right )^{2}+\left (6-5 \right )^{2}} = \sqrt{37}$

The length of AC is $\sqrt{\left (6-(-1) \right )^{2}+\left (0-5 \right )^{2}} = \sqrt{74}$

Therefore;

The amount of fencing Madisyn needs = The length of the sides of the triangular garden

The length of the sides of the triangular garden = The length of AB + The length of BC + The length of AC

The length of the sides of the triangular garden = √37 + √37 + √74 ≈ 20.77 m.

The amount of fencing Madisyn needs ≈ 20.77 m.

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