Question

You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a ſence around the garden to keep out animals Find the length of fencing you need to the nearest meter of TO 14 Distance (m) 2 Garden 10 2. 18 6 10 14 Distance (m) Length m
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Answer 1

Answer:

Length of fence required = 39 m

Step-by-step explanation:

Length of fencing around the triangular garden = perimeter of the triangle

Perimeter = AB + BC + AC

Coordinates of vertices A, B and C are,

A(13, 0), B(20, 15) and C(20, 0)

Formula to get the distance between two ordered pairs is,

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

AB = $\sqrt{(13-20)^2+(0-15)^2}$

     = $\sqrt{49+225}$

     = $\sqrt{274}$

     = 16.55

BC = $\sqrt{(20-20)^2+(15-0)^2}$

     = 15

AC = $\sqrt{(20-13)^2+(0-0)^2}$

     = 7

Perimeter = 16.55 + 15 + 7

                = 38.55 m

                ≈ 39 meters

Length of fence required = 39 meters