If \( A, A_{1}, A_{2}, A_{3} \) are the areas of the inscribed and ... VIDEO
If \( A, A_{1}, A_{2}, A_{3} \) are the areas of the inscribed and escribed circles of a triangle \( A B C \), then
(a) \( \sqrt{A_{1}}+\sqrt{A_{2}}+\sqrt{A_{3}}=\sqrt{\pi}\left(r_{1}+r_{2}+r_{3}\right) \)
(b) \( \frac{1}{\sqrt{A_{1}}}+\frac{1}{\sqrt{A_{2}}}+\frac{1}{\sqrt{A_{3}}}=\frac{1}{\sqrt{A}} \)
(c) \( \frac{1}{\sqrt{A_{1}}}+\frac{1}{\sqrt{A_{2}}}+\frac{1}{\sqrt{A_{3}}}=\frac{s^{2}}{\sqrt{\pi} r_{1} r_{2} r_{3}} \)
(d) \( \sqrt{A_{1}}+\sqrt{A_{2}}+\sqrt{A_{3}}=\sqrt{\pi}(4 R+r) \)
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