Answer:
The possible range of the measure of the third side is 2 < 3rd side < 10
Step-by-step explanation:
In any triangle:
- The sum of the lengths of any two sides must be greater than the length of the 3rd side
- The length of any side must greater than the difference of the lengths of the other two sides
- The difference of the other sides < The side < The sum of the other sides
Let us solve the question
∵ The measures of the two sides of a triangle are 4 cm and 6 cm
∵ The difference between their measures = 6 - 4 = 2 cm
∵ The sum of their measures = 6 + 4 = 10 cm
→ By using the rules above
∴ The measure of the third side is between 2 and 10
∴ 2 < the third side < 10
∴ The possible range of the measure of the third side is 2 < 3rd side < 10
