Respuesta :
The triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
The given coordinates are X(6,1) Y(-2,-3) Z(0,3).
What are coordinates?
A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold, such as Euclidean space, in a unique way.
We know that, Distance formula [tex]=\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }[/tex]
Now, [tex]XY=\sqrt{(-2-6)^{2}+(-3-1)^{2} }=\sqrt{80}[/tex] units
[tex]YZ=\sqrt{(0+2)^{2}+(3+3)^{2} }=\sqrt{40}[/tex] units
[tex]XZ=\sqrt{(0-6)^{2}+(3-1)^{2} }=\sqrt{40}[/tex] units
Here, [tex]YZ=XZ[/tex]
Hence, the triangle with the given coordinates X(6,1) Y(-2,-3) Z(0,3) is an isosceles triangle.
To know more about the coordinate geometry visit:
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