Question

determine whether or not the triangle whose vertex are the points X (0,-1), Y(2,1) and Z (4,3) is a right triangle.​

Answer 1

Explanation:

these 3 points are all on a straight line.

how we can see that without a graph ?

by checking the slope of the connections when going from one point to the next.

from (0, -1) to (2, 1) the changes of x and y are 2 and 2, so the slope is 2/2 = 1.

from (2, 1) to (4, 3) the changes of x and y are again 2 and 2, so the slope is again 2/2 = 1.

so, there is no change in direction from the first 2 points to the third. therefore, they are all on the same straight line, and they are NOT building a right-angled triangle.