the perimeter of a triangular field is 144 m and the ratio of the sides is 3:4:5find the area of the field
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70
Given ratio = 3 : 4 : 5 .
Let the sides be 3x , 4x , 5x .
Given perimeter = 3x + 4x + 5x
12x = 144 m
x = 12m .
Sides are 36 , 48 , 60 m.
Now, Semiperimeter = 144/2 = 72 .
Area =
= √ 72 * 36 * 24 * 12
= √ 746496
= 864 m
Therefore, Area = 864 m²
Let the sides be 3x , 4x , 5x .
Given perimeter = 3x + 4x + 5x
12x = 144 m
x = 12m .
Sides are 36 , 48 , 60 m.
Now, Semiperimeter = 144/2 = 72 .
Area =
= √ 72 * 36 * 24 * 12
= √ 746496
= 864 m
Therefore, Area = 864 m²
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8
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