The perimeter of a triangle is `300 mdot` If its sides are in the ratio `3:5: 7.` Find the area of the triangle.

Explanation

"Solution
Let, `1` side be =` 3x`
`2` side be = `5x`
`3` side be = `'7x'`
According to question, `3x+5x+7x=300`

⟹`x=20'`
So, sides are `60,100,140`
Area =
`sqrt(s(s−a)(s−b)(s−c))`

s=semi−perimeter
`s=150, a=60, b=100, c=140`
Area=
`sqrt(150(150−60)(150−100)(150−140))`
⟹`sqrt(150(90)(50)(10))`
⟹`1500 sqrt3 m^2`.