ChiemelaM371327 ChiemelaM371327

29-10-2022
Mathematics

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Given a triangle with coordinates X(2, -1), Y(-5, -4), and Z (-2, 3), what type of triangle is it?choice;rightequilateralisoscelesscalene

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JeanetteM70390 JeanetteM70390

29-10-2022

Solution

Distance between X and Y

[tex]D_{XY}=\sqrt{(2+5)^2+(-1+4)^2}=\sqrt{58}[/tex]

Distance between Y and Z

[tex]D_{YZ}=\sqrt{(-2+5)^2+(3+4)^2}=\sqrt{58}[/tex]

Since

[tex]D_{XY}=D_{YZ}[/tex]

Hence, the Triangle is Isosceles

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