Question
4)) A triangle has two sides of length 19.7 and 6.6. What compound inequality describes the possible lengths for the third side, x? 4) Write a compound inequality like 1lt xlt 3 square
Solution
4.6
(224 Votes)
Lauren
Veteran ยท Tutor for 12 years
Answer
###
Explanation
## Step 1: 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. This gives us three inequalities.## Step 2: Inequality 1###
or
. Since side lengths must be positive, this simplifies to
.## Step 4: Inequality 3###
## Step 5: Combining Inequalities### Combining
, we get
.