Two sides of a triangle measure 9 cm and 23 cm. Which could be the measure of the third side of the triangle?

CLEAR SUBMIT

35 cm



32 cm



28 cm



4 cm

1 answer

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference of the other two sides.

In this case, the sum of the two given sides (9 cm and 23 cm) is 9 + 23 = 32 cm.

- 35 cm is longer than 32 cm, so it cannot be the measure of the third side.
- 32 cm is the same length as the sum of the two given sides, so it cannot be the measure of the third side.
- 28 cm is shorter than the sum of the two given sides, so it could be the measure of the third side.
- 4 cm is shorter than the difference of the two given sides, so it cannot be the measure of the third side.

Therefore, the measure of the third side could be 28 cm.