Question

A triangle has two sides of length 6 and 1. What is the largest possible whole-number length

for the third side?

Answer 1

Largest possible number is 6

Explanation:

Given

Let the sides be a, b and c

`a = 6`

`b = 1`

Required

Determine the maximum value of c

The relationship between sides of a triangle is that:

`c < a + b`

Substitute values for a and b

`c < 6 + 1`

`c < 7`

Assume the sides are integer. If c < 7 is a solution, then the maximum of c is 6.