Question

the length of two sides of a triangle are 10 cm and 15cm between what two measures should the length of third side lie

Answer 1

Sum of the two sides of the triangle should be greater and should not be smaller than the third side.
=>Third side(x)
10+15 >x
10+x >15 =>x>15-10=5
15+x >10.

So (x) will lie between 5cm and 25cm.

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Answer 2

the third side of the triangle must be greater than the other two.

So,10+15=25 and 15-10=5

So,it lies between 5and 25