One side of a triangle measures 8 cm. of the remaining two sides, one measures2 cm more than the other. Prove that the length of each side of a triangle is greater than 3 cm.
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Let the sides of the triangle in cm be x,x+2,8
Since in a triangle, the sum of two sides will be greater than the third side, we have
x+x+2>8
=>2x+2>8
=>2x>6
=>x>3
Hence the two unknown sides will be greater than 3 as they are x,x+2
Also 8>3
Hence, all the three sides of the triangle >3cm
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