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

Explanation:

Step1: Apply triangle inequality theorem

Sum of two sides > third side.

Step2: Check 5cm+8cm=13cm

5+8=13, not >13. Invalid.

Step3: Check 6cm+7cm=13cm

6+7=13, not >13. Invalid.

Step4: Check 7cm+2cm=9cm

9 <13. Invalid.

Step5: Check 8cm+9cm=17cm

17>13; 8+13>9; 9+13>8. Valid.

Answer:

D. 8 cm and 9 cm