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Three horses are tethered with 7 metre l...

Three horses are tethered with 7 metre long ropes at the corners of a triangular field having sides 20m, 34m and 42m. Find the area of the plot which can be grazed by the horses. Also, find the area of the plot which remains ungrazed.

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To solve the problem of finding the grazed and ungrazed areas of the triangular field where three horses are tethered, we can follow these steps: ### Step 1: Calculate the Area of the Triangular Field We can use Heron's formula to find the area of the triangle formed by the sides 20m, 34m, and 42m. 1. **Calculate the semi-perimeter (s)**: \[ s = \frac{a + b + c}{2} = \frac{20 + 34 + 42}{2} = 48 \text{ m} ...
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