Du Plus - lx = (760) = 420
Number of 25 p coins=&r= (8 x 60) = 480
Number of 10 p coins = 9r = (9* 60) = 540
: The sides of a triangle are in the ratio 2:6:7. The su
is 126 cm. Find the length of the remaining side of th
Method
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Answer:iven, perimeter of a triangular field is 420 m and its sides are in the ratio 6:7:8.
Let sides of a triangular field be a=6x, b=7x and c=8x.
∴Perimeter of a triangular field,2s=a+b+c
⇒420=6x+7x+8x⇒420=21x
⇒x=
420
21
=20m
∴Side of a triangular field are
∴Side of a triangular field are
a=6×20=120m
b=7×20=140m
andc=8×20=160m.
Now,semi-perimeter,S=
a+b+c
2
=
120+140+160
2
=
420
20
=210m
∴Area of a triangular field=
√
s(s-a)(s-b)(s-c)
[by Heron's formula]
=
√
210(210-120)(210-140)(210-160)
=
√
210×90×70×50
100=
√
21×9×7×5
100=
√
7×3×32×7×5
=100×7×3×
√
15
=2100
√
15
m2
Hence, the area of triangular field is 2100
√
15
m2
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