Question

Could the points (-4,3), (-1,1) and (1,3) form the vertices of a right triangle?

Answer 1

No

Explanation:

Using distance formula `sqrt((x_2-x_1)^2 +(y_2 -y_1)^2)`, the distance between (-4,3) and (-1,1) would be `sqrt(3^2 +(-2)^2)=sqrt13`, distance between (-1,1) and (1,3) would be `sqrt(2^2 +2^2)= sqrt 8`, and the distance between (-4,3) and (1,3) would be `sqrt(5^2 +0^2)=sqrt25`

Now the sum of the squares of any of these two distances does not equal to the square of the the third distance. Hence the triangle is not a right triangle.