Question

help?!?!!??(medal will be given)

Determine if triangle DEF with coordinates D (2, 1), E (3, 5), and F (6, 2) 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

@Directrix help plz

Answer 2

@myininaya help plz

Answer 3

if its equilateral triangle all angles are 60deg no coordinates required for it.

Answer 4

OR if all sides are equal , use distance formula to see if all sides r equal

Answer 5

Use the distance formula to get the lengths of segments DE, EF, and FD.
The formula is attached.

Also, there is an online distance between two points calculator at:
Distance between two points Calculator
http://easycalculation.com/analytical/distance.php

Answer 6

nope...It isn't equilateral
\[AB=\sqrt{17}\]
\[BC=\sqrt{18}\]
\[AC=\sqrt{17}\]

Answer 7

AB=AC but not = BC

Answer 8

as salmon said i dont think its a equilateral cuze
d=squar root (x2-x1)^2+(y2-y1)^2

ab=(2,1) (3,5)
squar root (3-2)^2+(5-1)^2=
squar root 1+16= squar root 17 =4.123


bc=(3,5) (6,2)
squar root (6-3)^2+(2-5)^2=
squar root 9+9= squar root 18 = 4.242

ca=(6,2) (2,1)
squar root (2-6)^2+(1-2)^2
squar root 16+1=squar root 17= 4.123

Answer 9

The next question is what do we do about this:
If it is not an equilateral triangle, what changes can be made to make it equilateral? Be specific.

Answer 10

how to do the 2nd question ??

Answer 11

Actually their are number of ways to make it an equilateral...right??

Answer 12

i dont know !

Answer 13

@Salmon >> Actually their are number of ways to make it an equilateral...right??

Such as -- Give us a specific example.

Answer 14

I don't know if we are supposed to use variations of the given coordinates to form an equilateral triangle. That is not stated as a requirement.

If any three sets of coordinates pairs that form an equilateral triangle will suffice, then
I think {(4,0); (-1, 5√3); and (-6,0)} are vertices of an equilateral triangle of side 10.

@luka1998

Answer 15

thx

Answer 16

You are welcome.

Answer 17

I think you have change all the co-ordinates of the triangle...You should have only changed one of them to make it equilateral...