Triangle abc has vertices a(0,4), b(1,2), and c(4,6). determine whether abc is a right triangle. explain

For it to be a right triangle, it must have a right angle.
Right angles are formed by perpendicuar lines.
If we find that two of these lines are perpendicular, we will know it is a rt. triangle.

Perpendicular lines have slopes which are opposite reciprocals (like 3 and -1/3)

To find the slope between two points, use the formula .

For line AB:


For line AC:


For line BC:


-2 and 1/2 are opposite reciprocals, so this must be a right triangle.

Another way to do this would be to use the distance formula to find the three side lengths and see if the Pythagorean Theorem applies.

The correct answer is .44