There is an isosceles triangle with a base of 12 units. Find the locus of points that are 6 units from the midpoint on the line.

I had that problem on my test and I'm getting paranoid about my answer. Thanks for any help!

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- May 1st 2010, 07:50 AMilikewhoaIsosceles triangle with a base of 12 units, locus of points?
There is an isosceles triangle with a base of 12 units. Find the locus of points that are 6 units from the midpoint on the line.

I had that problem on my test and I'm getting paranoid about my answer. Thanks for any help! - May 1st 2010, 08:37 AMSoroban
Hello, ilikewhoa!

What is the original wording of the problem?

Quote:

There is an isosceles triangle with a base of 12 units.

Find the locus of points that are 6 units from the midpoint on the line.

. . What line?

If it refers to the midpoint of the base, why mention the triangle at all?

We have a line segment 12 units long.

The locus of points 6 units from its midpoint is a circle:

. . center at the midpoint, radius 6 units.