Find the area of triangular field whose are 715m, 666m and 275m.Also find the cost of reaping it at the rate of Rs 50 per hectare.
Answers
Given,
The side of triangular of side of field is
a =715m
b=660m
c=275m
the cost of reaping is= Rs.50 per hectare
to find:- Find the cost of reaping it at the
rate of Rs. 50 per hectare=?
semi perimeter = a +b + c/2
= 715+660+275/ 2
= 1650/2
s = 825m
s-a = 825-715 = 110m
s -b = 825 - 660 = 165m
s- c = 825- 275 = 550m
Area of triangle = √s(s-a)(s-b)(s-c)
=√825(825-110)(825-165)(825-550)
=√825×715×660×275
= √11×75×65×11×11×60×11×25
= √11×11×11×11×75×65×60×11×25
= √11×11×11×11×15×5×13×5×12×5×5×5
= √11×11×11×11×3×5×5×13×5×3×4×5×5
= √5×5×5×5×5×5×3×3×11×11×11×11×13×4
= √5×5×5×3×11×11×13×4
= √5×5×3×11×13×4
= √5×3×11×13×4
= 165√13×4
= 8580m2
Total cost = area × Rate
= 8580 × 50
= 429000 m/ hectare.
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