The points p(−3, 6) and q(1, 4) are two vertices of right triangle pqr . the hypotenuse of the triangle is pq . point r lies in quadrant 1. what are the the coordinates of point r?

ANSWER

The coordinates of point R in the first quadrant are .

EXPLANATION

We were given that the hypotenuse of the right angle triangle has vertices and .

The third point R is the intersection of the horizontal line that passes through , that has equation and the vertical line that passes through which also has equation .

Hence one possible coordinates of point R is which lies in the first quadrant.

The third point T could also be the intersection of the vertical line that passes through , that has equation and the horizontal line that passes through which also has equation .

Hence another possible coordinates of point R is which lies in the third quadrant.

Therefore the required coordinates of R is

See diagram in attachment

step-by-step explanation:

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