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Can someone please tell me how to solve this problem?
Two vertices of an equilateral trianlgle are (0,0) and (3, root 3). Find the third vertex.
I'd really appreciate it if anyone helped. Thanks!

2006-09-22 21:57:21 · 2 answers · asked by minstrel91 1 in Education & Reference Homework Help

Can someone please tell me how to solve this problem?
Two vertices of an equilateral trianlgle are (0,0) and (3, root 3). Find the third vertex.
I'd really appreciate it if anyone helped. Thanks!

I tried using distance formula and naming the points as x and y, but the answer I get is again (3, root3). What am I doing wrong? Please help!

2006-09-22 22:58:25 · update #1

Can someone actually work this question out? I still can't solve it.

2006-09-23 00:33:02 · update #2

2 answers

u can solve this problem with the help of distance formula....take the third vertex to be (x,y)....

2006-09-22 22:08:09 · answer #1 · answered by k_rapture 3 · 0 0

1) Find the mid point (c) of the interval joining your two points (a and b)

2) Find the equation of the perpendicular bisector of a,b

3) Use Pythagerus theorum to calculate the distance above and below a,b the apex of the two triangles will be.

4) Figure the coordinates.

5) Draw your two triangles.

2006-09-22 23:25:27 · answer #2 · answered by jemhasb 7 · 0 0

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