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

Three horses are tethered with 7m long ropes at the three corners of a

1.	Three horses are tethered with 7m long ropes at the three corners of a triangular field having sides 20m, 34m and 42 m. Find the area of the plot which can be grazed by the horses. Also, find the area of the plot which remains un-grazed.
Answer» orses are tethered with 7m long ropes at the THREE corners of a triangular field having sides 20m, 34m and 42 m. FIND the area of the plot which can be grazed by the horses. Also, find the area of the plot which remains un-grazed.Given 3 horses are tethered with 7 m long ropes at threecorners of AABCHere radius of sectors, r 7 mGiven sides of AABC are a = 20 cm, b = 42 m, C = 34 mThus the area of the plot that can be grazed is 77 sq m. Area of the plot that cannot be grazed = Area of AABC -Area of plot that can be grazed (1) By Heron's formula, area of AABCEquation (1) BECOMES,Area of the plot that cannot be grazed = 336 - 77 = 259 sq m