The cost of turfing a triangular field at the rate of RS 5 PER Square meter is 6720 if the side of the field are in the ratio 4:7:9 find the sides of the field ? ( Take=√5=2.24).(use √15=3.87
Answers
Answer:
40 , 70 & 90 m
Step-by-step explanation:
The cost of turfing a triangular field at the rate of RS 5 PER Square meter is 6720 if the side of the field are in the ratio 4:7:9
Let say sides of triangles are 4a , 7a & 9a m
s = (4a + 7a + 9a)/2 = 10a m
Using Hero formula
Area of Triangle = √(10a)(10a - 4a)(10a - 7a)(10a - 9a)
= √(10a)(6a)(3a)(a)
= 6a²√5
= 6a² * 2.24
= 13.44a² m²
Cost = 5 * 13.44a² = 67.2 a²
67.2 a² = 6720
=> a² = 100
=> a = 10
Sides of field = 40 , 70 & 90 m
Answer:
Answer:
40 , 70 & 90 m
Step-by-step explanation:
The cost of turfing a triangular field at the rate of RS 5 PER Square meter is 6720 if the side of the field are in the ratio 4:7:9
Let say sides of triangles are 4a , 7a & 9a m
s = (4a + 7a + 9a)/2 = 10a m
Using Hero formula
Area of Triangle = √(10a)(10a - 4a)(10a - 7a)(10a - 9a)
= √(10a)(6a)(3a)(a)
= 6a²√5
= 6a² * 2.24
= 13.44a² m²
Cost = 5 * 13.44a² = 67.2 a²
67.2 a² = 6720
=> a² = 100
=> a = 10
Sides of field = 40 , 70 & 90 m