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 11 months ago
The points (0,0) and (2,2) are two vertices of an equilateral triangle. Which of the following could be the coordinates of the third vertex?
a. (2,0)
b. (0.73,2.73)
c. (0.73,0.73)
d. (0,2)
e. (0.73,0.73)
 11 months ago
The points (0,0) and (2,2) are two vertices of an equilateral triangle. Which of the following could be the coordinates of the third vertex? a. (2,0) b. (0.73,2.73) c. (0.73,0.73) d. (0,2) e. (0.73,0.73)

This Question is Closed

dpasingh
 11 months ago
Best ResponseYou've already chosen the best response.1Since given is the equilateral triangle whose all the vertices are at equidistance. Let the coordinates of the third vertex be (x, y) Hence distance of (x, y) from (0, 0) = distance of (x, y) from (2, 2) therefore by distance formula we have \[(x0)^2+(y0)^2 = [x(2)]^2+(y2)^2\] \[\rightarrow x^2+y^2 = [x+2]^2+(y2)^2\] \[\rightarrow x^2+y^2 = x^2 +4 + 4x + y^2+4 4y\] \[\rightarrow 0 =8 + 4x  4y\] \[\rightarrow 4y 4x =8 \rightarrow y x =2 \] now cosider x=0 we get y0= 2 i.e. y=2 hence (x, y) = (0, 2) could be the coordinates of the third vertex.

dpasingh
 11 months ago
Best ResponseYou've already chosen the best response.1now cosider y=0 we get 0x= 2 i.e. x=2 i.e. x=2 hence (x, y) = (2, 0) could also be the coordinates of the third vertex

stupidinmath
 11 months ago
Best ResponseYou've already chosen the best response.0oh, got it, thank youuuu!

dpasingh
 11 months ago
Best ResponseYou've already chosen the best response.1@stupidinmath welcome

stupidinmath
 11 months ago
Best ResponseYou've already chosen the best response.0there's 2 answers?

dpasingh
 11 months ago
Best ResponseYou've already chosen the best response.1Yes, exactly. there are two possible answer.

dpasingh
 11 months ago
Best ResponseYou've already chosen the best response.1I fact there may be indefinite answers depending on the values we are assuming and second value obtaining accordingly...

dpasingh
 11 months ago
Best ResponseYou've already chosen the best response.1sorry infinite answers

stupidinmath
 11 months ago
Best ResponseYou've already chosen the best response.0i understand, thaanks a lot c:
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