Determen the length of the third side of a triangle from the choicses provided below if the first two sides measure 10 and 12

1 answer

To determine the length of the third side of a triangle with sides measuring 10 and 12, we can use the Triangle Inequality Theorem.

According to the theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

So, the possible range of the third side would be:
10 + 12 > x > 12 - 10
22 > x > 2
2 < x < 22

From the choices provided, the possible length of the third side can be any number between 2 and 22.