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October 8th, 2017, 03:08 AM   #1
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Math Focus: Calculus
Question How do you find the perimeter of a triangle inside these circles?

I am trying to solve this problem but I can't. It states like this:

In this figure T, P are tangential points A, B and C are the center of each circle. Note that the circles are not in scale. What is the perimeter of the triangle ABC if the distance between AC is 7 centimeters?.

I would appreciate that if the answer can include a better sketch of the figure with labels, sides and angles so I can figure out what's going on.

Now, what's special about a tangential point?. Is there any property that makes them singular over other points?.

Thanks in advance.
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October 27th, 2017, 05:49 AM   #2
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The perimeter is AC+CP+PB+BA=AC+CP+AT which should be equal to 21. The fact that the points are tangential allows you to solve the problem.
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October 27th, 2017, 10:30 AM   #3
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Did you notice that the 2 large circles are EQUAL in size?
Not that it matters much...
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