Difference between revisions of "1966 IMO Problems/Problem 2"
GausssWill (talk | contribs) (Created the page "1996 IMO Problems/Problem 2) |
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− | Let <math>A</math>, <math>B</math>, and <math>C</math> be the lengths of the sides of a triangle, and \ | + | Let <math>A</math>, <math>B</math>, and <math>C</math> be the lengths of the sides of a triangle, and <math> \alpha,\beta,\gamma </math> respectively, the angles opposite these sides. |
<cmath> a+b=\tan{\frac{\gamma}{2}}(a\tan{\alpha}+b\tan{\beta}) </cmath> | <cmath> a+b=\tan{\frac{\gamma}{2}}(a\tan{\alpha}+b\tan{\beta}) </cmath> | ||
Prove that if the triangle is isosceles. | Prove that if the triangle is isosceles. |
Revision as of 06:46, 5 July 2011
Let , , and be the lengths of the sides of a triangle, and respectively, the angles opposite these sides.
Prove that if the triangle is isosceles.