Chang knows one side of a triange is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm

8 cm and 9 cm

Step-by-step explanation:

In order to have a triangle, the sum of two sides must be greater than the third side.

5 + 8 = 13. That means that this will not work because the sum of the two sides is equal to 13, not greater than 13.

6 + 7 = 13. That means that this will not work because the sum of the two sides is equal to 13, not greater than 13.

7 + 2 = 9. That means that this will not work because the sum of the two sides is less than 13, not greater than 13.

8 + 9 = 17 (> 13)

8 + 13 = 21 (> 9)

9 + 13 = 22 (> 8)

That means that 8 cm and 9 cm will work because, in all three ways, the sum of two sides was greater than the third.

I hope this helps! Have a great day!

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step-by-step explanation: