Question

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

Answer 1

8cm and 9 cm because the sum of the two sides must be greater than 13.

5+8=13
6+7=13
7+2=9
8+9=17

Answer 2

8 cm and 9 cm

Explanation:

Hi there!

The sum of the lengths of two sides of a triangle must always be greater than the length of the third side.

5 cm and 8 cm ⇒ 5+8=13; not greater than 13

6 cm and 7 cm ⇒ 6+7=13; not greater than 13

7 cm and 2 cm ⇒ 7+2=9; not greater than 13

8 cm and 9 cm ⇒ 8+9=17; greater than 13

Therefore, the last set of two sides is possible for the lengths of the the other two sides of this triangle.

I hope this helps!