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JEE Advanced2010MathematicsProperties of TrianglesActual

Consider a triangle A B C and let a, b and c denote the lengths of the sides opposite to vertices A, B and C respectively. Suppose a=6, b=10 and the area of the triangle is 15 3 . If A C B is obtuse and if r denotes the radius of the incircle of the triangle, then r^2 is equal to

Correct answer

0

Step-by-step solution

C= 3 2 and C is given to be obtuse aligned & C= 2 3 = a^2+b^2-2 a b C & = 6^2+10^2-2 6 10 2 3 =14 & r= s r^2= 225 3 ( 6+10+14 2 )^2 =3 aligned

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