Unit 3 - Day 8

Day 8

Daily Objective: Triangle Inequalities

A triangle inequality is the sum of the measures of any two sides of any triangle is greater than the measure of the third side.

Quiz

1. A triangle has 3 sides but you only know 2. One side is 6 inches long and one side is 8 inches long. What is the range for the third side

2. Billy knows 2 sides of a triangle , one is 9 feet and the other 4 feet. What is the range for the third side.

3. Greg has a triangle that has one side of 7 feet and one side of 8 feet. How long could the third side possibly be?

 

Answer

1. To solve this problem, simply add the 8 and 6 together to get 14 and then minus 6 from 8 to get 2. Then write the equation like this to find your final range. 2 > x > 14.

2. To Answer this problem add the 9 and 4 together and then subtract the 4 from 9 to get a final answer of 5 > x > 13

3. The range for Greg's triangle is 1 > x > 15 because 7+8 is 15 and 8-7 is 1.