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