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.

I know the triangle isn't an equilateral, i just don't know how to make it into one.

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.

I know the triangle isn't an equilateral, i just don't know how to make it into one.

imstuck · Answer

Gotcha.  Let's look at this and find out which side(s) is/are lacking length and fix it/them.

anonymous · Answer

side DE is the square root of 17 and so is side DF. But side EF is the square root of 18

imstuck · Answer

Very good...thank you.

anonymous · Answer

will i have to change every coordinate to make triangle DEF into an equilateral?

imstuck · Answer

That's what I'm looking into right now...the least amount of changes as possible.

zepdrix · Answer

When you move one of the vertices it will mess with `two side lengths` right?
So I think we should try to move this point between the sides with equal length.|dw:1406770164359:dw|

zepdrix · Answer

So how do we do that.. hmmmmm.. thinking..

anonymous · Answer

lets move point E 1 unit up and 1 unit to the right and see what that does

zepdrix · Answer

This is what I think will work.. let's try umm....

anonymous · Answer

o, i see the problem XD

zepdrix · Answer

Let's shift it up to some unknown point (x,y) and then use the distance formula on each adjacent side.

zepdrix · Answer

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