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Determine angles of triangle given nothing (no scientific calculator) but triangle sides.

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score 219 · Answer 15 · 2026-04-15 19:09:45

219

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$\frac{AB}{A'B'}+\frac{BC}{B'C'}+\frac{CA}{C'A'} \geq 4 \left(\sin{\frac{A}{2}}+\sin{\frac{B}{2}}+\sin{\frac{C}{2}}\right). $

Published on 15 Apr 2026 - 19:09

List Question

Determine angles of triangle given nothing (no scientific calculator) but triangle sides.

Two coloured plane

Packing three squares into an equilateral triangle

Problem with the Pythagorean theorem

Solving for the triangle's perimeter

Circle/Triangle math problem

Equilateral triangle geometric problem

Does the orthocenter have any special properties?

How to prove triangle inequality for given formula?

Concurrency of A'L, B'M, C'N.

Finding side and angle of isosceles triangle inside two circles

Law sines in Spherical Triangle $\rightarrow$ Law sines in plane triangle

Triangle $\Delta ABC$ , $a,b,c$ are in G.P.

If two bisectors of a triangle are equal, then the triangle is isosceles.

$\frac{AB}{A'B'}+\frac{BC}{B'C'}+\frac{CA}{C'A'} \geq 4 \left(\sin{\frac{A}{2}}+\sin{\frac{B}{2}}+\sin{\frac{C}{2}}\right). $

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