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# Maths circles triangles overlapping watch

1. I have a diagram that says:
Three circles with radii of 2cm, 4cm and 6cm touch without overlapping triangle XYZ is formed by joining the centres of these circles.

I have to prove that X+90 degrees.
X is in the 2cm radius circle, Y in the 4cm, and Z in the 6cm.
2. (Original post by nikkibunny)
I have a diagram that says:
Three circles with radii of 2cm, 4cm and 6cm touch without overlapping triangle XYZ is formed by joining the centres of these circles.

I have to prove that X+90 degrees.
X is in the 2cm radius circle, Y in the 4cm, and Z in the 6cm.
It'd be far easier to understand if you posted the diagram for us to see
3. As the circles are tangent, you can add 2 radii at a time to find each side. Then just use cosine rule when you have all the sides to find one of the angles, then sine rule to find the other two.

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