Question

If A = (1, 4) B = (3, 1) and C = (6, 3), classify the the following triangle as either equilateral or right. Type the word equilateral or right in the blank.

Answer 1

The answer is RIGHT. I just did a test and the answer is RIGHT

Explanation:

Answer 2

First we need to calculate lenght of each side of triangle.
we use formula for finding distance between 2 points in xy coordinate system.

AB = √13
BC = √13
AC = √26

In order for triangle to be equilateral it must have all 3 sides equal lenght which in this case isn't correct. In order for it to be right it has to suit pythagoras theorem.

AC^2 = AB^2 + BC^2

expressing values of AC, AB and BC we can see that condition for right triangle is fulfilled.

Answer is RIGHT.