A) 6
B) 9
C) 12
D) 15
Correct Answer: B
Solution :
Since the triangle is equilateral, therefore \[2a-b-3=a-b+1=2a-2b-1\] or \[(2a-b-3)-(a-b+1)=0\] and \[(2a-b-3)-(2a-2b-1)=0\] or \[a-4=0,\,b-2=0\] \[\therefore \] \[a=4\] or \[b=2\] These values give \[2a-b-3=2\times 4-2-3=3,\] so that each side is 3 cm. Perimeter \[=3\times 3=9\text{ }cm.\]You need to login to perform this action.
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