locus of pts equidistant from two sides of triangle

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Describe each locus.

1-The locus of points that are equidistant from sides AB and AC of triangle ABC.

I have no clue where to start or what to do.

2-The locus of points equidistant from TWO circles having the same center and radii of 7 cm and 11 cm.

For question 2, I added 7 + 11 and divided by the number of circles.

(7 + 11)/2 = 18/2 = 9 cm. Now, 9 cm is the right answer.

However, the book tells me that question 2 involves CONCENTRIC CIRCLES.
I don't see the connection between the given data and concentric circles.

Please explain.

Also, is there an easy math site that explains the 5 basic types of LOCI.
 
1) Draw the triangle. Will any points outside the angle BAC be equidistant from the two sides?

2) What was your reasoning...? Why would you add the radius lengths and then divide by the number of circles...? Which part of your drawing led you to think that would be helpful?

Since the two circles have the same center, obviously they are, by definition, concentric, so I'm not sure why you're objecting to that term...?

Eliz.
 
ok

I added and then divided because that is what I understood form the sample questions used in the math book.

I have no clue what to do with locus stuff.

Can you show me what to do?
 
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