contestada

(04.01 mc)

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)

Respuesta :

Medunno13

Part A

By the distance formula,

[tex]rs=\sqrt{(4-2)^2 + (4-3)^2}=\sqrt{5}\\\\st=\sqrt{(4-5)^2 + (4-0)^2}=\sqrt{17}\\\\rt=\sqrt{(2-5)^2 + (3-0)^2}=3\sqrt{2}[/tex]

Part B

[tex]m_{rs}=\frac{4-3}{4-2}=\frac{1}{2}\\\\m_{rt}=\frac{3-0}{2-5}=-1\\\\m_{st}=\frac{4-0}{4-5}=-4[/tex]

Part C

The triangle is scalene because each side has a different length.

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