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 November 13th, 2016, 09:13 PM #1 Newbie   Joined: Nov 2016 From: South Africa Posts: 6 Thanks: 0 Three non overlapping circles with a triangle http://www.freemasons-freemasonry.co...-triangle.html If you go to figure 3 on this webpage, it looks identical to my diagram, but the radii are different. In figure 3, swap 1 for 2, 2 for 4 and 3 for 6. I have a diagram that shows three circles not overlapping, the radii are 2cm, 4cm and 6cm (XYZ). There is a triangle formed by joining the centres of the circles. Prove that X = 90 degrees. Calculate Y and Z. Last edited by skipjack; November 13th, 2016 at 10:12 PM.
 November 13th, 2016, 09:16 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,765 Thanks: 1013 Math Focus: Elementary mathematics and beyond Are then circles tangent to one another? Can you post the diagram?
November 13th, 2016, 10:22 PM   #3
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Quote:
 Originally Posted by nikkibunny In figure 3, swap 1 for 2, 2 for 4 and 3 for 6.
In other words, just double the size of that diagram. As explained in the image, Pythagoras applies. The angle at the vertex X of the triangle is 90° because XY² + XZ² = YZ².

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