are the slopes (3,2), (8,5), and (0,10) are right triangles?

Question

this question for me too do my geometry homeworkb !

Answer 1

To have a right angle the lines need to be perpendicular.  That means the slopes are negative recipricals (NR).

We need to find the slope of

(0,10) and (8,5)

M = (10 - 5)/(0 - 8) = -5/8, NR = 8/5

to the slope of

(8,5) and (3,2)

M = (5 - 2)/(8 - 3) = 3/5, NR = -5/3

(0,10) and (3,2)

M = (10 - 2)/(0 - 3) = -8/3, NR = 3/8

There is not a right angle.