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stupidinmath
Group Title
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)
 8 months ago
 8 months ago
stupidinmath Group Title
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)
 8 months ago
 8 months ago

This Question is Closed

dpasingh Group TitleBest ResponseYou've already chosen the best response.1
Since 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.
 8 months ago

dpasingh Group TitleBest ResponseYou've already chosen the best response.1
now 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
 8 months ago

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

dpasingh Group TitleBest ResponseYou've already chosen the best response.1
@stupidinmath welcome
 8 months ago

stupidinmath Group TitleBest ResponseYou've already chosen the best response.0
there's 2 answers?
 8 months ago

stupidinmath Group TitleBest ResponseYou've already chosen the best response.0
@dpasingh
 8 months ago

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

stupidinmath Group TitleBest ResponseYou've already chosen the best response.0
oh okay
 8 months ago

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

dpasingh Group TitleBest ResponseYou've already chosen the best response.1
sorry infinite answers
 8 months ago

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