Question

Determine if triangle DEF with coordinates D (3, 2), E (4, 6), and F (7, 3) is an equilateral triangle. Use evidence to support your claim. If it is not an equilateral triangle, what changes can be made to make it equilateral? Be specific.

Answer 1

Use the formula d=sqrt[(x₂-x₁)^2+(y₂-y₁)^2] to find distance between 2 points.
DE = √17
EF = √18
FD = √17
See the attachment for the complete workout.
Since,All the sides are not same to make an equilateral triangle.
So its not an equilateral triangle