Question

help!!! 10pts!!
The coordinates of the vertices of triangles are listed in the options below. Which is a right triangle?

D(2, −3), E(−5, 7), F(6, −9)
A(−3, 2), B(−3, −9), C(2, −4)
P(−6, 2), Q(1, 0), R(−3, −2)
X(3, 1), Y(−4, −3), Z(−1, 8)

Answer 1

It's a bit of a bummer to have to work through all of these to find the answer. That a lot of slope calculations (or graphing, or whatever). When there are this many, a spreadsheet or other machine help can make it easier.

The correct choice is the last one, XYZ, with vertex X being where the right angle is located.

_____
Slope of XY is 4/7; slope of XZ is -7/4. The product of these is -1, so those segments are at right angles.