Question

Given the measures of two sides of a triangle, find the range of values for the third side.20,2

Answer 1

We have the following:

Theorem 1: Given a triangle with sides A, B, and C, the sum of the lengths of any two sides of a triangle must be greater than the third side:

$\begin{gathered} 1.A+B>C \\ 2.B+C>A \\ 3.A+C>B \end{gathered}$

Thus given two sides of A=20 and B=2, C can be:

[tex]\begin{gathered} 20-2The values of that third side must be between 18 and 22