# Awesome Geometry!

Geometry Level 5

The ratios of the lengths of the sides $$BC$$ and $$AC$$ of $$\triangle ABC$$ to the radius of its circumscribed circle are equal to 2 and 1.5 respectively.

Find the ratio of the lengths of the bisectors of the interior angles $$B$$ and $$C$$ .

If the answer can be expressed in the form $$\dfrac{a\sqrt{b} - a\sqrt{c}}{d}$$, where $$a$$, $$b$$, $$c$$ and $$d$$ are positive integers with $$a$$ and $$b$$ being square free, find $$(a+b) - (c+d)$$.

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