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Trignometry

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10 Mar 2010 11:56:14 IST

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the radii r1,r2,r3 of escribed circles of triangle ABC are in harmonic progression. If its area is 2

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the radii r1,r2,r3 of escribed circles of triangle ABC are in harmonic progression. If its area is 24 sq.cm. and its perimeter is 24 cm. find the lengths of its sides. plzzzzzzzzzzzzzzzzzzzzz give me the solution with steps.

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kabi

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Joined: 11 Jan 2009

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10 Mar 2010 14:11:14 IST

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Let the sides be a , b ,c

r₁=S/(s-a) ...r₂=S/(s-b).........r₃=S/(s-c)

As these r in HP

2 / r₂ = 1/ r₁ + 1/r₃

putting the values we will get " b = 8 " and a +c = 16

so tan B = 4 / 3

by Area the height on "b" should be 6

by seeing the value of tan B

a = 10 ,b =8,c=6

a=6,b=8 ,c=10

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