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Incircle and excircles
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====Other properties==== From the formulas above one can see that the excircles are always larger than the incircle and that the largest excircle is the one tangent to the longest side and the smallest excircle is tangent to the shortest side. Further, combining these formulas yields:<ref>Baker, Marcus, "A collection of formulae for the area of a plane triangle", ''Annals of Mathematics'', part 1 in vol. 1(6), January 1885, 134-138. (See also part 2 in vol. 2(1), September 1885, 11-18.)</ref> :<math display=block>\Delta = \sqrt{r r_a r_b r_c}.</math>
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