Answer:
The length of PR is 5 units
Step-by-step explanation:
Here, we want to calculate the length of PR
Since PQ is the hypotenuse, it means that the right-angle would be between lines PR and RQ
Also, since R is on the third quadrant, then its coordinates are (-x,-y)
To get the coordinates of R since we know that we need a right angle, we drop a straight vertical line through P and a straight horizontal line through Q
What this mean is that the coordinates of R will take the x-coordinate of the point P and the y-coordinate of the point Q
Hence, we have that the coordinates of the point R is (-3,-3)
Now, we want to calculate the length of PR
PR will be the distance between the points P and R
Mathematically, to get this, we use the distance formula
That will be;
√(y2-y1)^2 + (x2-x1)^2
Thus, we have
√(2-(-3)^2 + (-3-(-3))^2
= √5^2 + 0^2
= √25 = 5 units
