The perimeter of a triangle is 300m.If its sides are in ratio 3:5:7.find the area of the triangle.
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Define x:
Ratio = 3 : 5 : 7
Let x be the constant ratio
Ratio = 3x : 5x : 7x
Find the lengths:
3x + 5x + 7x = 15x
15x = 300
x = 20
3x = 3(20) = 60 m
5x = 5(20) = 100 m
7x = 7(20) = 140 m
Find the area;
Area = √p(p - a)(p - b) (p - c)
p = 300 ÷ 2 = 150
Area = √150(150 - 60) ( 150 - 100)(150 - 140)
Area = √6750000
Area = 1500√3 m²
Answer: The area of the triangle is 1500√3 m²
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