Question

Two vertices of a triangle are (3,-5),(-7,4).If centroid is (2,-1) . Find its third vertex.​

Answer 1

Step-by-step explanation:

Let A, B and C are the vertices of the triangle.

A= (3, -5), B= (-7, 4) and

Let the coordinate of the vertex C is (x,y)

Now,

Given, coordinate of the centroid of the triangle is G(2, -1)

We know that the coordinate of the centroid of a triangle can be found by taking the average of the coordinate of the vertices.

So,

2= (3 +(-7) + x)/3

=> 6 = x - 4

=> x = 10

Similarly for y,

-1 = (-5 + 4 + y)/3

=> -3 = y - 1

=> y = -2

So, the coordinate of the third vertex of the triangle is (10,-2)

Hope it helps!

Answer 2

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