Sides of a triangular field are 15 m, 16 m, 17 m. With the three corners of the field a cow, a
buffalo and a horse are tied separately with ropes of length 7 m each to graze in the field. Find
the area of the field which cannot be grazed by the 3 animals
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Given radius of each sector=7m
Now area of sector with ∠C=360∠C×πr2=360∠c×π(72)m2
Area of the sector with ∠B=360∠B×πr2=360∠B×π(72)m2
And area of the sector with ∠H=360∠H×πr2=360∠H×π(72)m2
Therefore sum of the areas =360∠C+∠B+∠H×π×49=77m2
Semiperimeter=24 m
Therefore area of the triangular field =s(s−a)(s−b)(s−c)
=2421
m2
So area which can not be grazed =(2421
−77)m2
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