# With the help of a distance formula the point do not form a triangle A( 4, 2) B( 7, 5) ,C ( 9, 7)

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The Brainliest Answer!

distance formula AB = √(x2-x1)² + (y2 - y1)² right! and, come on we can use the formula now.

If you square AB, then AB² = x2-x1)² + (y2 - y1)² right!

A(4,2) B(7,5) C(9,7) right!

AB² = [7-4]²+[5-2]²

=9+9

=18

AB =√18 = 3√2.

BC² =[9-7]²+[7-5]²

=4+4

=8

BC=2√2.

AC² =[9-4]²+[7-2]²

=25+25

=50

AC=√50

=5√2.

3√2+2√2=5√2.

Therefore, the points are collinear, and so, they do not form a triangle.

Hope this will help you.

so it is not possible