Find The Value of X Given (x,2)

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The problem involves finding the value of X in a right triangle formed by the radii of a circle with center B. The discussion reveals that the radius of the circle is 5, leading to the conclusion that X must be calculated by subtracting 5 from the x-coordinate of the circle’s center. This results in the value of X being -4. The final coordinates are confirmed as (-4, 2). The solution is verified and agreed upon by participants in the discussion.
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[SOLVED] Find The Value of X Given (x,2)...

Homework Statement


In the figure above, Lines AB and BC are radii of the circle with center B. What is the value of X? (see attached)

I am lost. I don't know how to begin to solve this problem.

<ABC is a right triangle. Does that factor into the equation?

It would appear that the answer has to be a negative number.
 

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Hint: find the radius of the circle.
 
cristo said:
Hint: find the radius of the circle.
Would the radius be 5?

The answer is -5?
 
LLS said:
Would the radius be 5?

The answer is -5?

No. You must subtract 5 from the x coordinate of the center of the circle...What does that give?
 
nrqed said:
No. You must subtract 5 from the x coordinate of the center of the circle...What does that give?

That would be 1 - 5 = -4

(-4, 2)
 
LLS said:
That would be 1 - 5 = -4

(-4, 2)

Yup!
 

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