Finding the third coordinate point?

[luvs2spooge]

In the problem the lengths of A,B and C are known and I also know the coordinates x1,y1 and x2,y2 given this information what calculation could i perform on this known data to compute x3,y3?

I have attached an image.
Thanks

 

[Deleted member 4993]

In the problem the lengths of A,B and C are known and I also know the coordinates x1,y1 and x2,y2 given this information what calculation could i perform on this known data to compute x3,y3?

I have attached an image.
Thanks

If I were to solve this problem, I would define A, B & C in terms of (x1,y1) & (x2,y2) & (x3, y3)

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.

 

[Dr.Peterson]

In the problem the lengths of A,B and C are known and I also know the coordinates x1,y1 and x2,y2 given this information what calculation could i perform on this known data to compute x3,y3?

I have attached an image.
Thanks

You can write the equations of the circles centered at points 1 and 2 with radii B and C, and solve for the intersection.

 

[BigBeachBanana]

You can set up a system of 2 equations using the distance formula to solve for the third coordinate:
[math] C^2=(x_3-x_1)^2+(y_3-y_1)^2\\ B^2=(x_3-x_2)^2+(y_3-y_2)^2 [/math]

 

[Harry_the_cat]

What are the lengths? Do they form a Pythagorean triangle? This would make this question much, much easier.