triangular plot is given in the ratio 6:8:10 and its perimeter is 340 m.Find the area of the plot in m².
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Answer :-
- The area of the triangular plot is 11304.2998 m².
To find :-
- The area of the triangular plot.
Step-by-step explanation :-
- It is given that the three sides of the triangular plot are in the ratio 6 : 8 : 10.
Let :-
- The sides be 6x, 8x and 10x.
We know that :-
Here,
- Perimeter = 340 m.
Therefore,
Hence, the sides of the triangle are :-
____________________________
- For finding the area of the triangular plot, first we need to find out it's semi perimeter.
We know that :-
Here,
- The sides are 84.96 m, 113.28 m and 141.6 m.
Therefore,
Now, we know that :-
Here,
- Semi-perimeter = 170 m.
- The sides are 84.96 m, 113.28 m and 141.6 m.
Therefore,
Hence,
- The area of the triangular plot is 127787194.22 m².
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