If two sides of a triangle are 9 cm and 15 cm in length, which COULD be the measure of the third side?
right calculations. 6 < x < 24
which is not inclusive
To determine the range of possible lengths for the third side of the 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.
Let x be the length of the third side:
9 + 15 > x
24 > x
15 + x > 9
x > -6 (this inequality is always true)
9 + x > 15
x > 6
Therefore, the third side could have a length between 6 cm and 24 cm, inclusive.