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.

Question

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.

anonymous · Answer

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mathstudent55 · Answer

The three sides measure 11, 13, and 14.
The largest angle is opposite the longest side.
Use the law of cosines to find it.

mathstudent55 · Answer

Add the radii of each two adjacent circles.

parthkohli · Answer

It's pretty easy.

The radius remains the same.

mathstudent55 · Answer

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