N a rectangular field of dimensions 60m x 50m, a triangular park is constructed. If the dimensions of the park is 50 m,45m and 35 m, find the area of the remaining field.(ans- 2235.15 m2 )
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Finding the area of remaining field we have to calculate the area of rectangular field and area of triangular park
when we have found the both ,
then ,
Area of remaining field = area of rectangular park -area of triangular field
so to find the area of rectangular field ,
Area of rectangular field = length × breadth
Area of rectangular field =60m×50m
Area of rectangular field =3000m
then the area of triangular park,
Area of traingular park =
![\sqrt{s(s - a)(s - b)(s - c)} \sqrt{s(s - a)(s - b)(s - c)}](https://tex.z-dn.net/?f=+%5Csqrt%7Bs%28s+-+a%29%28s+-+b%29%28s+-+c%29%7D+)
where as ,
s= sum of all sides of triangle
and a,b,c is the side of triangle
this formula is also known as ~hero's formula~
therefore
sum of all side of triangle/2=
50m+45m+35m
=130/2
=65m
now substitute this value in formula ,
we get as
![\sqrt{65(65 - 50)(65 - 45)(65- 35)} \sqrt{65(65 - 50)(65 - 45)(65- 35)}](https://tex.z-dn.net/?f=+%5Csqrt%7B65%2865+-+50%29%2865+-+45%29%2865-+35%29%7D+)
=764.85m
therfore,
Area of remaining field=area of rectangular park -area of triangular field
Area of remaining field=3000m-764.85
Area of remaining field=2235.14m
this is area of remaing field 2235.14m
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when we have found the both ,
then ,
Area of remaining field = area of rectangular park -area of triangular field
so to find the area of rectangular field ,
Area of rectangular field = length × breadth
Area of rectangular field =60m×50m
Area of rectangular field =3000m
then the area of triangular park,
Area of traingular park =
where as ,
s= sum of all sides of triangle
and a,b,c is the side of triangle
this formula is also known as ~hero's formula~
therefore
sum of all side of triangle/2=
50m+45m+35m
=130/2
=65m
now substitute this value in formula ,
we get as
=764.85m
therfore,
Area of remaining field=area of rectangular park -area of triangular field
Area of remaining field=3000m-764.85
Area of remaining field=2235.14m
this is area of remaing field 2235.14m
plzzzzs mark me as brain list
plzzzz
plzz
if it help for u plzz mark me as brain list
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