Question

How many triangles can be constructed with sides measuring 14cm, 8 cm, and 5 cm?

Answer 1

 Answer: B

Explanation: No triangle can be formed.

According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.

Here, the sides are 14 cm, 8 cm, and 5 cm.
14cm + 8 cm = 22 cm > 5cm (theorem followed)
14 cm + 5 cm = 19 cm > 8 cm (theorem followed)
8 cm + 5 cm = 13 cm < 14 cm (theorem not followed)

Since, the triangle inequality theorem is not followed, Hence, no triangle can be formed.