Here is a fun little geometry problem. Give it a go if you so desire.

Look at the graph. The radius of the larger circle is 2r and the radius of the smaller circle is r. Find the area of the triangle.

There are many ways to go about it. I used simialr triangles, but perhaps you have a better way.

I just left r=1 in order to graph it. But consider r to be some radius r, not 2 as I have in the graph. The area of the triangle should be expressed in terms of r alone.

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And it may sound weird... but the site has got several 'skins' On the one you are on, harum, you can't edit your own post. It's the 'newer skin' and I personally don't like it. You might try the skin made before that, by looking for your settings and look for something about 'Take me back to the old AMHD' or something along those lines. It's been a while I haven't been there myself.

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A triangle inscribed in a circle has to be equilateral triangle for having maximum area ; how?
What if it is an ellipse instead of a circle, or a conic section in general ?

The area of an isosceles triangle is 30 square units.if the base measure 6 units,find the length of the altitude and the ratio of the altitude to the base?

the sum of the square roots of any two sides of an isoseles triangle is equal to the square root of the remaining side. Is this statement true or false?

Ok, find the altitude of an isosceles triangle whose base is 10 and whose congruent sides are 9. I found how to find the alt of a right triangle but still don't really comprende.
Help :D