The sides of a triangular plot are in the ratio of 3:5:7 and it's perimeter is300 meter .find its area

### Asked by ravinderchoudhary0486 | 6th Dec, 2019, 10:59: AM

Expert Answer:

### The sides of a triangular plot are in the ratio of 3:5:7.
Let the sides are 3x, 5x and 7x.
Perimeter of a triangle = 300
3x + 5x + 7x = 300
15x = 300
x = 20
Then the sides are 60 m, 100 m, 140 m
The area of triangle using Heron's formula a = 60 m, b = 100 m and c = 140 m
s = (a + b + c)/2 = 150
Area of triangle = √s(s - a)(s - b)(s - c)
= √150(150 - 60)(150 - 100)(150 - 140)
= 2598 m^{2}

^{2}

### Answered by Sneha shidid | 6th Dec, 2019, 12:12: PM

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