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Show that the (5,5),(5,0),and (0,0) are the vertices of an isosceles triangle.

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An isosceles triangle has 2 sides that are equal.

I plotted these points. See attached screenshot.

The first side's distance is 5. You can just count those units along the x axis. (0,0) and (5,0) share the same y coordinate, so the difference in x coordinates is 5-0 = 5.

The next sides's distance is also 5. You can count that distance on the coordinate plane. (5,5) and (5,0) share the same x coordinate, so the difference in y coordinates is 5-0 = 5.

These two sides make a right triangle and are equal length. This is an isosceles right triangle.

Show that the (5,5),(5,0),and (0,0) are the vertices of an isosceles triangle.-example-1
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User Taskism
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