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. Part B: Find the slope of each side of the triangle. Show your work. Part C: Classify the triangle. Explain your reasoning.

Question

Jaqueline Stout

Mathematics

21 May, 06:01

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. Part B: Find the slope of each side of the triangle. Show your work. Part C: Classify the triangle. Explain your reasoning.

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Answers (1)

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Kael Summers · Answer 1

A)

side RS

d = √[ (4-3) ² + (4-2) ²] = √5

side RT

d = √[ (0-3) ² + (5-2) ²] = √18

side TS

d = √[ (0-4) ² + (5-4) ²] = √17

B)

side RS

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

side TR

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

side TS

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

C) It is a scalene triangle because all sides have different lengths. It is not a right triangle because none of the sides are perpendicular (the multiplication of their slopes should have been - 1 and they are not).