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.
Answers
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.
Given 3 horses are tethered with 7 m long ropes at three
corners of AABC
Here radius of sectors, r 7 m
Given sides of AABC are a = 20 cm, b = 42 m, c = 34 m
Thus 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 AABC
Equation (1) becomes,
Area of the plot that cannot be grazed = 336 - 77 = 259 sq m
Explanation:
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.
Given 3 horses are tethered with 7 m long ropes at three
corners of AABC
Here radius of sectors, r 7 m
Given sides of AABC are a = 20 cm, b = 42 m, c = 34 m
Thus 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 AABC
Equation (1) becomes,
Area of the plot that cannot be grazed = 336 - 77 = 259 sq m