Find the 13

Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3] and C[9, 4].

Result

e = (Correct answer is: ) OK

Solution:

A[1,2];B[8,3];C[9,4]. S=AC/2 x0=(91)/2=4 y0=(4(2))/2=3  AB: a=1   a 1+b (2)+c=0 a 8+b (3)+c=0 1 1+b (2)+c=0 1 8+b (3)+c=0  2bc=1 3bc=8  b=7 c=13   v=a2+b2=12+72=5 27.0711  r=a x0+b y0+cv=1 4+7 3+137.07115.374  R=r2=5.3742=72225=28.88  e:(xx0)2+(yy0)2=r2 e:(x4)2+(y3)2=28.88



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