Question

the sides of triangular field are 90m, 120m, 50m . find the cost of levelling the field at the rate of 1.20 per square metre​

Answer 1

Answer:

43782736.3 rupees

Step-by-step explanation:

Given: the sides of the triangular field are 90m, 120m,50m. the levelling cost rate is 1.20 per square meter.

To find: the area of the triangle, the cost of levelling.

Solution: In case of a Scalene triangle, for the calculation of the area at first 's' or the semi-perimeter.

s=(120+90+50)/2

 =260/2

=130

thus the area of the triangular field is $\sqrt{s*(s-120)*(s-90)*(s-50)}$

=$\sqrt{130*(130-120)*(130-90)*(130-50)}$

=$\sqrt{130*10*40*80}$

=364856.136 $m^{2}$

thus the total cost of levelling the ground at rate 1.20 will be  364856.136*1.20= 43782736.3 rupees