triangle rst has vertices located at r (2, 3), s (4, 4), and t (5, 0).
part a: find the length of each side of the triangle. show your work. (4 points)
part b: find the slope of each side of the triangle. show your work. (3 points)
part c: classify the triangle. explain your reasoning. (3 points)

the answer to your question os:

part a     d rs = √5

              d st = √ 17

              d rt = √18

part b

              slope rs = 1 / 2

              slope st = - 4

              slope rt = - 1

part c

              scalene

step-by-step explanation:

r (2,3)

s (4,4)

t (5,0)

a) formula

                    d = √((x2-x1)² + (y2-y1)²)

d rs = √((4 - 3)² + (4 - 2)²)   = √((1)² + (2)²) = √1 + 4 = √5

d st = √((5 - 4)² + (0 - 4)²) = √((1)² + (-4)²) = √1 + 16 = √ 17

d rt = √((5 - 2)² + (0 - 3)²) = √((3)² + (-3)²) = √9 + 9 = √18

b)

          m = (y2 - y1) / (x2 - x1)

    slope rs = (4 - 3) / (4 - 2)   = 1 / 2

    slope st = (0 - 4) / (5 - 4)   = -4 / 1 = -4

  slope rt = (0 - 3) / (5 - 2)   = -3 / 3 = -1

c) it's a   scalene triangle   because all its sides has a different length

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