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

Length of the third side could be any length greater than 14 cm and less than 32 cm.

Step-by-step explanation:

Given:

Length of the first side = 9 cm

Length of the second side = 23 cm

To find: Possible length of the third side.

We know that the sum of two sides of a triangle is always greater than the third side.

Thus, Third side has to be less than the sum of the two given sides.

⇒ Third side < 9 + 23 = 32 cm

Also, the side can not be less the difference of the two sides.

⇒ Third side > 23 - 9 = 14 cm

Therefore, Length of the third side could be any length greater than 14 cm and less than 32 cm.

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step-by-step explanation: