in a triangle the longest side is 2 more than the shortest side . the third side is half of the sum of the longest and shortest sides , then express its perimeter in polynomial form
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let the shortest side be x
then the longest side is x+2
the third side=1/2(x+2+x)=1/2(2x+2)=x+1
perimeter =(x)+(x+2)+(x+1)=3x+3
then the longest side is x+2
the third side=1/2(x+2+x)=1/2(2x+2)=x+1
perimeter =(x)+(x+2)+(x+1)=3x+3
navyalakshmi702:
can you explain me properly
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The longest side = x
Shortest side = x - 2
Third side = 1/2 * ( 2 x - 2 )
= 1/2 * 2 ( x - 1 ) = 1 * (x - 1) = x - 1
Perimeter = x- 1 + x + x - 2
= 3x -3
Shortest side = x - 2
Third side = 1/2 * ( 2 x - 2 )
= 1/2 * 2 ( x - 1 ) = 1 * (x - 1) = x - 1
Perimeter = x- 1 + x + x - 2
= 3x -3
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