Two sides of a triangle measure 4 cm and 9 cm. Determine which of the following choices cannot be the measure of the third side.(1 point) Responses 8 cm 8 cm 10 cm 10 cm 5 cm 5 cm 6 cm

Answer 1

The third side of a triangle must be greater than the difference between the two other sides and less than the sum of the other two sides.

In this case, the two sides given are 4 cm and 9 cm, so the third side must be greater than |4-9| = 5 cm and less than 4+9 = 13 cm.

Therefore, the choice that cannot be the measure of the third side is 10 cm.