
Geometry Geometry Math Forum 
 LinkBack  Thread Tools  Display Modes 
October 8th, 2017, 03:08 AM  #1 
Member Joined: Jun 2017 From: Lima, Peru Posts: 46 Thanks: 1 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: 60 Thanks: 2 
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: 12,769 Thanks: 860 
Did you notice that the 2 large circles are EQUAL in size? Not that it matters much... 

Tags 
circles, find, inside, perimeter, triangle 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
perimeter triangle  Nathalia  Geometry  1  August 28th, 2016 06:58 PM 
Find the Number of Lattice Points inside $\triangle OAB$  Brolie  Number Theory  3  August 31st, 2014 07:07 AM 
Minimum diameter of a circle to fit other circles inside  Ash  Algebra  1  March 12th, 2014 09:50 AM 
4 circles inside a hexagon  gelatine1  Algebra  4  April 27th, 2013 09:13 AM 
Circles inside a circle  Bogauss  Algebra  1  February 10th, 2012 05:06 PM 