Answer:
In order to form a triangle, the sum of the length of two sides should be greater than the length of the third side. This is called the triangle inequality theorem.
Given the side lengths of 17 cm, 7 cm, and 8 cm, we can see that 17 cm is the longest side. To form a triangle, the sum of the other two sides (7 cm and 8 cm) should be greater than 17 cm.
7 cm + 8 cm = 15 cm which is less than 17 cm. Therefore, it is not possible to construct a triangle with sides 17 cm, 7 cm, and 8 cm.
Explanation: