Draw a triangle between the houses of Jose, Ed, and Brad. Determine whether this triangle is a scalene, isosceles, or equilateral triangle. Explain your reasoning?
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The distance between two points is the number of units between the points
From the graph, we have the following coordinates
[tex]\mathbf{J = (-3,3)}[/tex]
[tex]\mathbf{E = (-2,-1)}[/tex]
[tex]\mathbf{B = (3,1)}[/tex]
The distance between their houses is calculated using the following distance formula
[tex]\mathbf{d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]
So, we have:
[tex]\mathbf{JE = \sqrt{(-3 - -2)^2 + (3 - -1)^2}}[/tex]
[tex]\mathbf{JE = \sqrt{17}}[/tex]
[tex]\mathbf{JB = \sqrt{(-3 - 3)^2 + (3 -1)^2}}[/tex]
[tex]\mathbf{JB = \sqrt{40}}[/tex]
[tex]\mathbf{EB = \sqrt{(-2 - 3)^2 + (-1 -1)^2}}[/tex]
[tex]\mathbf{EB = \sqrt{29}}[/tex]
None of the side lengths are equal.
Hence, the triangle is a scalene triangle
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