The sides of a triangular plot are in the ratio of 12:8
7 and its perimeter is 270 m. If its area is 900. A m².
then the value of 32 A is
Answers
Given : The sides of a triangular plot are in the ratio of 12:8:7 and
its perimeter is 270 m
area is 900√A m²
To Find : value of 32 A
Solution:
The sides of a triangular plot are in the ratio of 12:8:7
12x + 8x + 7x = 270
=> 27x = 270
=> x = 10
Side lengths are
120 , 80 , 70
s = ( 120 + 80 + 70)/2 = 135
Area = √s(s-a)(s-b)(s0c)
=> Area = √135(135 - 120)(135 - 80)(135 - 70)
=> Area = √135(15)(55)(65)
=> Area = √15x3x3(15)(5x11)(5x13)
=>. Area = 15 x 3 x 5 x √243
=>. Area = 225 x √243
225 x √243 = 900√A
=> √243 = 4√A
=> 243 = 16A
=> 243 x 2 = 2 x 16A
=> 486 = 32A
value of 32 A = 486
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