Question

The lengths of two sides of a triangle are 7.8 cm and 5.6 cm. Between what two measures should the length of the third side fall?

Answer 1

Hello! To draw a triangle, first, we have to follow a condition of existence.

This rule is:

• one of the sides must be ,bigger, ,than the absolute value, of the ,difference between the other two, sides

• the unknown side must be ,smaller ,than the ,sum of the other, two sides.

Let's write these rules using a, b, and c for the sides:

Considering a = 7.8 and b = 5.6:

[tex]\begin{gathered} |a-b|So, the third side must be smaller than 13.4 and bigger than 2.2.