Question

You are creating a logo for a local company in the shape of an isosceles triangle. The legs measure 5 inches each. What is the greatest number of whole inches the base can measure?

Answer 1

9 inches

Explanation:

Here, we want to know the greatest length of the third side

We apply the triangle inequality theorem here

To get the third side, then the sum of the lengths of the two must be greater than the measure of the third side

let us call the third side x

Then;

5 + 5 > x

10 > x

The highest whole number before 10 is 9: so it is the greatest possible whole number the base of the isosceles triangle can have