In a triangle ABC, if the radii of ex-circles r1,r2 and r3 are given by r1=8,r2=12 and r3=24, then:
A
in radius r=8
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B
side a=12
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C
side b=16
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D
side c=20
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Solution
The correct options are B side a=12 C side b=16 D side c=20 a=r1(r2+r3)√r1r2+r2r3+r3r1 substituting the values for r1=8,r2=12 and r3=24 we get a=8×3624=12 b=r2(r3+r1)√r1r2+r2r3+r3r1=12×3224=16 c=r3(r1+r2)√r1r2+r2r3+r3r1=24×2024=20 Also, r1r2r3=rs2 ⇒r=r1r2r3s2 =8×12×24(24)2=4