In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
For a triangle with side lengths of 4 cm and 9 cm, the possible range for the third side would be:
9 - 4 < x < 9 + 4
5 < x < 13
Therefore, the measure of the third side cannot be 5 cm, as it falls outside of the possible range. The measures of 10 cm, 6 cm, and 8 cm are all within the possible range for the third side.
Two sides of a triangle measure 4 cm and 9 cm. determine wich of the following choices cannot be the measure of the third side. 10,5,6,8
1 answer