29. Sides of a triangular field are 15 m, 16 m and 17 m. With the three corners of two field a cow, a buffalo
field which cannot be grazed by the three animals.
and a horse are tied separately with ropes of length 7 m each to graze in the field. Find the area of the
Answers
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2
Explanation:
Given radius of each sector=7m
Now area of sector with ∠C=
360
∠C
×πr
2
=
360
∠c
×π(7
2
)m
2
Area of the sector with ∠B=
360
∠B
×πr
2
=
360
∠B
×π(7
2
)m
2
And area of the sector with ∠H=
360
∠H
×πr
2
=
360
∠H
×π(7
2
)m
2
Therefore sum of the areas =
360
∠C+∠B+∠H
×π×49=77m
2
Semiperimeter=24 m
Therefore area of the triangular field =
s(s−a)(s−b)(s−c)
=24
21
m
2
So area which can not be grazed =(24
21
−77)m
2
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above answer is right
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