Question

Chang knows one side of a triangle is 13 cm which set of two sides is possible for the length of the other two sides

5 cm and 8 cm
6cm and 7 cm
7cm and 2 cm
8cm and 9 cm​

Answer 1

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Answer 2

8cm and 9 cm​

Explanation:

Sum of sides rule:

The sum of the two smallest sides of a triangle has to be greater than the third side.

5 cm and 8 cm

One side is 5, other 8, 5 + 8 = 13. The sum has to be greater than 13, so this is not possible.

6cm and 7 cm

6 + 7 = 13, same as above, not possible.

7cm and 2 cm

7 + 2 = 9 < 13, so not possible.

8cm and 9 cm​

8 + 9 = 17 > 13, so possible, and this is the answer.