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

Solution:

Given, the sides of a triangle are 14cm, 8 cm and 5 cm.

We have to find how many triangles can be formed by the given side measures.

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

14 + 8 = 22 > 5 (theorem followed)

14 + 5 = 19 > 8 (theorem followed)

8 + 5 = 13 < 14 ( theorem not followed)

Since, the triangle inequality theorem is not followed.

Therefore, no triangles can be formed.

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

Summary:

No triangles can be formed using the sides measuring 14cm, 8cm and 5cm.