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Question 220048: the perimeter of a triangle is 207mm if the lenghts of the sides are consecutive odd interger what is the lengtg of each side
Answer by pranav.joshi5(2) (Show Source):
You can put this solution on YOUR website! lets assume the that smallest side is x
so other two sides will be : x+2 and x+4 (as they are consecutive odd nos.)
perimetre = sum of all the sides of a triangle
ie. (x)+(x+2)+(x+4)= 207
after we open the brackets:
x+x+x+2+4 = 207
3x + 6 = 207
3x + 6 -6 = 207 - 6 (subtracting both the sides by 6)
3x = 201
therefore 3x/3 = 201/3 (dividing both sides by 3)
x = 67
therefore x+2=69
therefore x+4 = 71
ANSWER: therefore the sides of the triangle are 67, 69, 71
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