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 October 8th, 2017, 03:08 AM #1 Senior Member     Joined: Jun 2017 From: Lima, Peru Posts: 114 Thanks: 2 Math Focus: Calculus 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.
 October 27th, 2017, 05:49 AM #2 Member   Joined: Oct 2017 From: Japan Posts: 62 Thanks: 3 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.
 October 27th, 2017, 10:30 AM #3 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1039 Did you notice that the 2 large circles are EQUAL in size? Not that it matters much...

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