Question

Prove that the points P(3,2),Q(6,2) and R(6,6) represents a scalene triangle.​

Answer 1

3-4-5 right triangle is scalene

Explanation:

You want to show the triangle defined by points P(3,2),Q(6,2) and R(6,6) is a scalene triangle.

Side lengths

We observe that points P and Q have the same y-coordinate, so lie on the horizontal line y=2. The length PQ is 6 -3 = 3 units.

Points Q and R have the same x-coordinate, so lie on the vertical line x=6. The length QR is 6 -2 = 4 units.

These legs are different lengths and are at right angles to each other. The third leg, the hypotenuse, will be longer than either of them.

The triangle's sides are unequal, so the triangle is a scalene triangle.