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niax
This one has stumped me... Three circles of radii 5 cm, 6 cm and 8 cm are positioned so that they just touch one another. Their centres form the vertices of a triangle. Find the largest angle in the triangle.
The three sides measure 11, 13, and 14. The largest angle is opposite the longest side. Use the law of cosines to find it.
Add the radii of each two adjacent circles.
It's pretty easy. The radius remains the same.
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