A (0, 0), B (5, 0), and C (2, 4). These coordinates will be the vertices of a triangle. How would you use the distance formula to determine what kind of triangle this is? Is the triangle equilateral, right, or scalene?

Question

anonymous · Answer

the distance for A and B is 5 as well as the distance for B and C. the distance for A and C is sqrt 20.

anonymous · Answer

There are three types of triangle (in the Euclidean Plane)
1) Equilateral - all sides and angles are the same
2) Isosceles - two sides and two angles are the same
3) Scalene - three sides of different length, and three different angles

Which do you think it is?

anonymous · Answer

okay, wait I've just seen you don't have the one I was going for as an option

anonymous · Answer

I think its a Isosceles...

anonymous · Answer

That's what I was going to say, but you don't give that as an option above

anonymous · Answer

i know Ug

anonymous · Answer

How did you determine that both sides had length of 5?

anonymous · Answer

I used the distance formula

anonymous · Answer

yep, they are definitely correct.

anonymous · Answer

No, it's definitely an acute isosceles triangle

anonymous · Answer

idk why the question gave me the wrong answer choice......

anonymous · Answer

http://www.wolframalpha.com/input/?i=plot+triangle+%280%2C0%29%2C%285%2C0%29%2C%282%2C4%29 Is there not an option for 'none of the above'?

anonymous · Answer

no

anonymous · Answer

I'll have to point out the mistake. Thanks Though !

anonymous · Answer

no problem, but yeah it's definitely isosceles!