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. Sho

Question

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)

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Gerda 1 month 2021-08-04T01:52:08+00:00 1 Answers 6 views 0

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    2021-08-04T01:54:03+00:00

    Given: The coordinate of R,S,T is (2,3), (4,4) and (5,0) respectively.

    To find: Where we need to find the length of each side of the triangle RST

    The slope of each side of the triangle RST.

    and classify the triangle.

    Solution:

    Part A:

    length of RS=

    \sqrt{(4-2)^2+(4-3)^2}\\=\sqrt{2^2 +1}\\=\sqrt{5}

    Length of ST=

    \sqrt{(4-5)^2+(4-0)^2}\\=\sqrt{(-1)^2 +4^2}\\=\sqrt{17}

    Length of TR=

    \sqrt{(5-2)^2+(0-3)^2}\\=\sqrt{3^2 +(-3)^2}\\=\sqrt{18}

    Part B:

    Slope of RS=

    \frac{4-3}{4-2}\\=\frac{1}{2}

    Slope of ST=

    \frac{0-4}{5-4}\\=\frac{-4}{1}\\=-4

    Slope of TR=

    \frac{3-0}{2-5}\\=\frac{3}{-3}\\=-1

    Part C:

    As all the side length of this triangle are unequal so this triangle is scalene.

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