This question is a bit tedious. In order to answer it, we will have to find the distance between each vertex using the distance formula.
d² = (x - x)² + (y - y)² Distance Formula
d² = (-3 - 8)² + (7 - 7)² Substitute for points Q (-3,7) and R (8,7)
d² = -11² + 0² Collect like terms
d² = 121 Square
d = 11 Take the square root of both sides to cancel out the exponent on the left
The distance between points Q and R is 11. Now let's use the formula on the rest of the points.
R and S
d² = (8 + 6)² + (7 + 5)² Keep in mind that when you subtract a negative, it becomes a positive.
d² = 196 + 144
d² = 340
d = 18.4
Q and S
d = 12.4
This is scalene triangle, because none of the sides are equal. I was a bit rushed on this one, so you might want to check my math.