Question

If A(-1,3), B(4,4), C(8,1) , then classify ABC as scalene, isosceles, or equilateral.

Answer 1

For this case we use the formula of distance between points.
We have then:
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
For AB:
AB = root ((4 - (- 1)) ^ 2 + (4-3) ^ 2)
AB = 5.099019514
For AC:
AC = root ((8 - (- 1)) ^ 2 + (1-3) ^ 2)
AC = 9.219544457
For BC:
BC = root ((8-4) ^ 2 + (1-4) ^ 2)
BC = 5
We observe that it has three sides with different dimensions, therefore, the triangle is scalene.
Answer:
Scalene