The sides of a triangular plot are in the ratio of 5:7:9 and its perimeter is 300m. Find its
area.
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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 = √s(s−a)(s−b)(s−c)
s = semi − perimeter
s=150, a=60, b=100, c=140
Area=√150(150−60)(150−100)(150−140)
⟹√150(90)(50)(10)
⟹1500√3 m²
- I Hope it's Helpful.
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