Question

One side of a triangle is 12 cm. Of the remaining two sides, one measures 2 CM more than the other. Prove that the length of each side of the triangle is greater than 5 CM.
Please provide the answer as soon as possible.

Answer 1

according to theorem of triangle the sum of two sides must be greater then third side.
here,
one side measures 12cm.
it means rest two sides sum must be greater then third side.so,sum of two sides will surely be greater then 12 and hence each side will be greater than5cm.

Answer 2

we know that
the sum of two sides in a triangle is greater than third side
AB+ BC> AC
x+x+2>12
2x+2>12
2x>12-2
2x>10
x>10/2
x>5
now all three sides of triangle are greater than third side
hence proved