To find: the shortest possible side of a triangle.
Explanation of Solution
Given information:
Base of triangle
The other two sides
Side lengths are integers.
Calculation:
According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, the sum of the two congruent sides must be greater than the base, i.e. 13.
Since the side lengths must be integers, so the sides must have lengths at least seven in order to satisfy the given condition. Thus, the shortest possible side of a triangle is 7 units.
Chapter 7 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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