Question

How many triangles can be constructed using the following three side lengths: 4.8 cm, 2.1 cm, and 2.6 cm?

no triangles
one triangle
an infinite number of triangles

Answer 1

Answer: No triangle

Explanation:

The given dimensions of triangle : 4.8 cm, 2.1 cm, and 2.6 cm

• The famous triangle inequality says that in any triangle the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.

But
`2.1+2.6=4.7<4.8`

It means the sum of two sides (2.1 and 2.6) is less than the third side (4.8).

Therefore by triangle inequality, no triangle can be possible by the given measurement.