Determine the name of the following triangle using the given points:

Question

A(5,6), B(-1,-2) and C(-3,2). Be as specific as possible.

I used the distance formula and found that AB had a side of 10

BC had a side of 2 sqrt 5

CA had a side of 4 Sqrt 5

I found that since all sides are different, it is a scalene triangle.

Can you please tell me if I am correct?

Answer 1

ahhh, but did you also notice that

(2√5)^2 + (4√5)^2 = 10^2

So what else do you know about the triangle ?

Answer 2

Ok, so you're using the pathagorean theorum. I'm a bit rusty on my geometry so does that make it a right scalene?

Answer 3

yup!

Answer 4

:) Thanks!