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Given the perimeter of an inscribed triangle is 54 cm, and the radius of the circle is 5 cm. Find the area of the triangle.

Easy...

^_^

2007-02-28 22:05:43 · 2 answers · asked by kevin! 5 in Science & Mathematics Mathematics

I mean the perimeter is 24 cm. I'm sorry for that.

2007-02-28 23:19:40 · update #1

2 answers

You haven't said anything about what type of triangle it is. The easiest thing would be to assume that it is equilateral. In this case each side must be 8cm. Draw a diagram of the situation and join the centre of the circle to each corner of the triangle. Extend one of these lines to intersect the opposite side of the triangle at its middle. This gives you a right-angled small triangle inside the first one and it is particularly easy to calculate other lengths. From these you should be able to work out the area of the starting triangle.
If you are not told that the triangle is equilateral then that's a different matter.

2007-03-01 00:16:42 · answer #1 · answered by Anonymous · 0 0

It is impossible to have such a triangle in a circle with radius 5cm.

2007-03-01 06:45:52 · answer #2 · answered by You-Know-Who 2 · 0 0

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