Answer: Coordinates of point R is (1,6)
Explanation:
Since we have given that
The points P(-3,6) and Q(1,4) are two vertices of right triangle PQR.
The hypotenuse of the triangle is PQ.
Construct a rectangle PQRR' with diagonal PQ ,
Now, we'll determine the points of R and R',
With the help of P(-3,6) and Q(1,4)
R will be (1,6) as x-coordinate of R and Q will be same and y-coordinate of R will be while determining the coordinates of R.
Similarly,
With the help of P(-3,6) and Q(1,4)
R' will be (-3,4) as x-coordinate of P and R' will be same and y-coordinate of Q and R' will be same while determining the coordinates of R'.
But as we given that point R lies in quadrant 1 so, we will take the value of R which (1,6).
Hence, coordinates of point R is (1,6)
