If in ABC with usual notations a - 18- b - 24- c - 30 then sin A2 is equal to

The correct option is B 1√(10) s=18+24+302=36 ...

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Polar Representation of a Complex Number

If in ABC w...

Question

If in $△ A B C$ with usual notations $a = 18, b = 24, c = 30$ then $s i n \frac{A}{2}$ is equal to

\frac{1}{\sqrt{5}}

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\frac{1}{\sqrt{10}}

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\frac{1}{\sqrt{15}}

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\frac{1}{2 \sqrt{5}}

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A B C

∣ ∣ ∣ ∣ \begin{matrix} 1 & a & b 1 & c & a 1 & b & c \end{matrix} ∣ ∣ ∣ ∣ = 0

{sin}^{2} A + 24 {sin}^{2} B + 36 {sin}^{2} C

△ A B C

\frac{a cos A + b cos B + c cos C}{a + b + c} = \frac{1}{2},

\frac{sin A + sin B + sin C}{sin A sin B sin C}

∣ ∣ ∣ ∣ \begin{matrix} 1 & a & b 1 & c & a 1 & b & c \end{matrix} ∣ ∣ ∣ ∣ = 0,

4 s i n^{2} A + 24 s i n^{2} B + 36 s i n^{2} C

Δ A B C

2 a c sin \frac{1}{2} (A - B + C)

Δ A B C

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

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

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