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

8 cm and 9 cm

Explanation:

To estimate the sides of triangle we must understand that any side of a triangle is greater than the differences between any two sides and also less than the sum of the two sides.

In this problem;

  One of the sides is 13cm;

    According to our theorem, this sides is less than the sum of the other two sides and greater than difference between the two sides.

 8 cm and 9 cm is the correct choice;

  if the other two sides are 8cm and 9cm;

     9cm - 8cm  = 1cm

      9cm + 8cm  = 17cm

13cm is in between them.

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