Question

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?

Answer 1

PR = 5 units.

Explanation:

Given:

Right triangle

Hypotenuse = P(–3, 2), Q(1, –3)

R = located in the third quadrant.

To calculate the length of PR,

(i) First make a sketch of the points P and Q. The diagram is attached to this response.

(ii) As shown in the diagram, the point R is located in the third quadrant and its distance from P is from point -3 to 2 on the y-axis.

There are 5 points between -3 and 2. Therefore, the length PR = 5 units