Question

a triangle has vertices with coordinates (0,0), (a,0), and (0,a), where a is not equal to 0. calssify the triangles in two different ways. explain your answer.

Answer 1

isosceles triangle

Answer 2

right triangle

Answer 3

You have a right triangle because no matter what a is you will always have a 90 degree angle and it is also isosceles triangle because both legs are of the same length.

Answer 4

...and the reason it's a 90 degree angle is because (a,0) and (0,a) each lie on different coordinate axes; x and y respectively. Coordinate axes are at right angle at each other.

Answer 5

Thanks (: