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Consider a triangle PQR with coordinates of its vertices as P(-8,5), Q(-15, -19), and R (1, -7). The bisector of the interior angle of P has the equation which can be written in the form ax+2y+c=0. The radius of the in circle of triangle PQR is |
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Answer» 4 `BAR(x) = (20(-8)+15(-15)+25(1))/(20+15+25) = -6` `bar(y) = (20(5)+15(-19)+25(-7))/(60) = -6` Hence, incenter I is (-6, -6). Now, the equation of side PR is `y+7 = (12)/(-9)(x-1)` or 4x-4 = -3y-21 or 4x+3y+17 = 0 Inradius is given as the distance of I from side PR, i.e., `(|-24-18+17|)/(5) = 5` |
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