The triangle formed by ioining the three excentres \( I_{1} I_{2} \) and \( I_{3} \) of \( \tria...
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The triangle formed by ioining the three excentres \( I_{1} I_{2} \) and \( I_{3} \) of \( \triangle A B C \) is called the excentral or excentric triangle and in this case internal angle bisector of triangle \( A B C \) are the altitudes of triangles \( \mathrm{I}_{1} \mathrm{I}_{2} \mathrm{I}_{3} \)
\( \mathrm{P} \)
Sides of the \( \Delta I_{1} I_{2} I_{3} \) are
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(A) Rcos \( \frac{A}{2}, R \cos \frac{B}{2} R \cos \frac{C}{2} \)
(B) \( 4 R \cos \frac{\mathrm{A}}{2}, 4 \mathrm{R} \cos \frac{\mathrm{B}}{2} 4 \mathrm{R} \cos \frac{\mathrm{C}}{2} \)
(C) \( 2 R \cos \frac{A}{2}, 2 R \cos \frac{B}{2} 2 R \cos \frac{C}{2} \)
(D) None of these
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