In a right triangle, the hypotenuse has endpoints P(-3,2) and Q(1,-3).

If R represents the third vertex in the triangle and R is located in the third quadrant, what is the length of PR?

A right angle triangle has one of its angles to be 90 degrees. Since the triangle PQR is a right triangle, this means that the line PR and RQ must be at right angle.

For the two lines to be perpendicular, then the point R must be located on a point on the same y-axis with point Q

The point R will be at (-3, -3) and the length of PR will be:

PR = 2 - (-3)
PR = 2 + 3

PR = 5 units

Hence the length of PR if R represents the third vertex in the triangle and R is located in the third quadrant is 5units

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In a right triangle, the hypotenuse has endpoints P(-3,2) and Q(1,-3). If R represents the third vertex in the triangle and R is located in the third quadrant, what is the length of PR?

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Right angled triangle

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In a right triangle, the hypotenuse has endpoints P(-3,2) and Q(1,-3).

If R represents the third vertex in the triangle and R is located in the third quadrant, what is the length of PR?