Determine the length of the third side of a triangle from the choices provided if the first two sides measure 10 and 12
To determine the length of the third side of a triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Using this theorem, we can set up an inequality equation:
10 + 12 > x
Simplifying,
22 > x
Therefore, the length of the third side, x, must be less than 22 (since the sum of the lengths of any two sides must be greater than the length of the third side).
Without specific choices provided, we cannot determine the exact length of the third side.