Question

The coordinates of the vertices of Triangle PQR are P(2, 5), Q (-6,5), and R (-2, 1). Determine

whether PQR is a right triangle. Show your work.

Answer 1

PQR is a right triangle

Explanation:

slope of the line that contains PQ = 0

Because the line is parallel to x axis

slope of the line that contains QR

(5-1)/(-6+2) = 4/-4 = -1

slope of the line that contains PR
(1-5)/(-2-2) = -4/-4 = 1

PR and QR are perpendicular so the triangle is right