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

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step-by-step explanation:

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answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.