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anonymous
 one year ago
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.
anonymous
 one year ago
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.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 @geekfromthefutur can u please help me ??

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2You need to prove that DE = EF = DF

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2To find the length of DE, you find the distance from D to E Use the distance formula \[\Large d = \sqrt{\left(x_{2}x_{1}\right)^2+\left(y_{2}y_{1}\right)^2}\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2dw:1434592177602:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok give me one second (:

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2Alright, take all the time you need. I'll be right back

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 sorry to bother but im stuck on a part its the coordinates (6,2) im not sure where it would go but i know (2,1) would plug into (x1,x2) and then coordinates (3,5) would plug into (y1,y2) right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2D(2, 1), E(3, 5), let D be the point (x1,y1) let E be the point (x2,y2) so x1 = 2 x2 = 3 y1 = 1 y2 = 5 \[\Large d = \sqrt{\left(x_{2}x_{1}\right)^2+\left(y_{2}y_{1}\right)^2}\] \[\Large d = \sqrt{\left(32\right)^2+\left(51\right)^2}\] \[\Large d = \sqrt{\left(1\right)^2+\left(4\right)^2}\] \[\Large d = \sqrt{1+16}\] \[\Large d = \sqrt{17}\] So DE is exactly \(\Large \sqrt{17}\) units long. I'll let you do the other segments EF and DF

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2I think you meant to use D,E,F instead of A,B,C ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2You should have \[ DE = \sqrt{17}\\ EF = \sqrt{18}\\ DF = \sqrt{17}\\ \] So it looks like you got it

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2DE = DF is true but DE = EF is false so not all sides are equal to the same length we don't have an equilateral triangle, but we do have an isosceles triangle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok i see what mean (: thank you so much (:

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2you're welcome

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 could help me with another Question if u have the chance??

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2sure, just post where it says 'ask a question' so you have more room and less clutter
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