Question

ATTENTION!!!!!!!:):)::):) WILL GIVE MEDAL PLUS FAN

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

@eliassaab

Answer 2

@whpalmer4
@agent0smith

Answer 3

Find the length of each side using the formula for the distance between two points \((x_1,y_1)\) and \((x_2,y_2)\):

\[D = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\]

An equilateral triangle by definition has 3 equal-length sides.

Answer 4

so for the first points How would it look when I plugg them in

Answer 5

from D (2,1) to E (3,5)
call D \((x_1,y_1)\) and E \((x_2,y_2)\)

distance from D to E is \(\sqrt{(3-2)^2+(5-1)^2} = \sqrt{1^2+4^2} = \sqrt{17}\)

Answer 6

ok can you help me with the distance for the next points please

Answer 7

it's the same procedure. pick one point, use it as \((x_1,y_1)\). the other point is \((x_2,y_2)\).

Answer 8

yes can you please write it out for me