Question

Determine the type(s) of the triangle with the given coordinates. X(6,1) Y(-2,-3) Z(0,3)

Answer 1

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 $=\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }$

Now, $XY=\sqrt{(-2-6)^{2}+(-3-1)^{2} }=\sqrt{80}$ units

$YZ=\sqrt{(0+2)^{2}+(3+3)^{2} }=\sqrt{40}$ units

$XZ=\sqrt{(0-6)^{2}+(3-1)^{2} }=\sqrt{40}$ units

Here, $YZ=XZ$

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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