In any triangle ABC- a 2 - b 2 - c 2 - R 2 has the maximum value

The correct option is C 9 In triangle #160;ABC; a ^ 2 + b ^ 2 + c ^ 2 / R ^ 2 =4[ sin ^ 2 A +sin ^ 2 B +sin ^ 2 C #160;] #160;=4[ 3 cos ...

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Cos(A+B)Cos(A-B)

In any triang...

Question

In any triangle $A B C; \frac{a^{2} + b^{2} + c^{2}}{R^{2}}$ has the maximum value

3

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9

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A B C

\frac{b^{2} - c^{2}}{a^{2}} sin 2 A + \frac{c^{2} - a^{2}}{b^{2}} sin 2 B + \frac{a^{2} - b^{2}}{c^{2}} sin 2 C = 0

\frac{a^{2} + b^{2} + c^{2}}{R^{2}}

8

a^{2} = b^{2} + c^{2}

b^{2} = c^{2} + a^{2}

c^{2} = a^{2} + b^{2}

\frac{a^{2} + b^{2} + c^{2}}{R^{2}}

8

a^{2} = b^{2} + c^{2}

In any $△ A B C, \frac{1}{r_{1}^{2}} + \frac{1}{r_{2}^{2}} + \frac{1}{r_{3}^{2}} + \frac{1}{r^{2}}$ is equal to

A B C, a^{2} + b^{2} + c^{2} = c a + a b \sqrt{3}

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