SOLUTION: Triangle ABC has the following points: A(4,-1), B(10,7), and C(-16,3). What type of triangle is this? Options: Right Isosceles Equilateral Scalene P.S.: I am not sure ho

Question 1117022: Triangle ABC has the following points: A(4,-1), B(10,7), and C(-16,3). What type of triangle is this?
Options:
Right
Isosceles
Equilateral
Scalene
P.S.: I am not sure how i am suppose to determine what kind it is by just looking at the points?
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Triangle ABC has the following points: A(4,-1), B(10,7), and C(-16,3). What type of triangle is this?
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Find the 3 side lengths, AB, BC and AC
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
You need to understand or know the definitions of those triangle types and know the Distance Formula (for finding the size of each segment).
Right Triangle or not - you might either use slopes of the three segments or use Pythagorean Theorem.

(Identify longest side; say it is c; not a Right Triangle)

(Any two slopes negative reciprocals, then a right angle)
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