Question

If you had three coordinates, how would you determine if it's an equilateral triangle

Answer 1

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If the coordinates of a triangle are given, we can find the type of triangle by measuring the distance between the points..  For eg,  Let A(x1,y1) , B(x2,y2) , and C(x3,y3) be the 3 coordinates of a triangle…  Now, To find the type of triangle we now find the distance between the points as follows…  Distance between the points AB,  Distance between the points AC,  And, distance between the points BC…

Now, if:

AB=AC=BC , then the triangle is an equilateral triangle..

AB=AC≠BC / AB=BC≠AC / AC=BC≠AB , then the triangle is an isosceles triangle..

AB≠AC≠BC, then the triangle is a scalene triangle…

This is how we find the type of triangle using the 3 given coordinates…

P.S.- The formula for finding the distance between 2 points is as follows..

Let us consider 2 points, A(x1,y1) and B(x2,y2)..

Thus, the distance between AB is given by the formula

AB=√{(x1-x2)²+(y1-y2)²}.

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bai :>