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November 13th, 2016, 09:13 PM   #1
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Exclamation Three non overlapping circles with a triangle

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.
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November 13th, 2016, 09:16 PM   #2
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Are then circles tangent to one another? Can you post the diagram?
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November 13th, 2016, 10:22 PM   #3
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Originally Posted by nikkibunny View Post
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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