Easy Geometry!

Geometry Level 2

In any Δ A B C \Delta ABC , find the value of B C ‾ ( s i n B − s i n C ) + A C ‾ ( s i n C − s i n A ) + A B ‾ ( s i n A − s i n B ) \overline{BC}(sinB-sinC) + \overline{AC}(sinC-sinA) + \overline{AB}(sinA-sinB) .


The answer is 0.

Venkata Karthik Bandaru by Venkata Karthik Bandaru , 20, India

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1 solution

Theorem of the sines:

In every triangle ABC is met:

AB/sin C = BC/sin A = AC/sin B ... With this you can finish the problem. Furthemore, AB/sin C = BC/sin A = AC/sin B = 2R where R is the radius of the circunmscrite circunference to the triangle ABC

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