If in ABC- sin A sin C -sin A-B sin B-C -Prove that a2-b2-c2 are in A-P-

sin A =sin( B+C ) #160; or #160; ∴sin ^ 2 B sin ^ 2 C =sin ^ 2 A sin ^ 2 B or 2 b ^ 2 = a ^ 2 + c ^ 2 by sine rule ∴ a ^ 2 , b ...

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Quadratic Formula

If in ABC, ...

Question

If in $△ A B C, \frac{sin A}{sin C} = \frac{sin (A - B)}{sin (B - C)},$
Prove that $a^{2}, b^{2}, c^{2}$ are in $A . P .$

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A B C

\frac{sin A}{sin C} = \frac{sin A - B}{sin B - C}

a^{2}, b^{2}

c^{2}

\frac{sin A}{sin C} = \frac{sin (A - B)}{sin (B - C)}

a^{2}, b^{2}, c^{2}

\frac{sin A}{sin C} = \frac{sin (A - B)}{sin (B - C)},

a^{2}, b^{2}, c^{2}

l n Δ A B C, I f \frac{S i n A}{S i n C} = \frac{S i n (A - B)}{S i n (B - C)}

a^{2}, b^{2}, c^{2}

△ A B C

\frac{\sqrt{sin A} - \sqrt{sin B}}{\sqrt{sin A} + \sqrt{sin B}} = \frac{a + b - 2 \sqrt{a b}}{a - b}

{(a - b)}^{2} = a^{2} + b^{2} - 2 a b)

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