Find the length of segment CE if AE = 8 inches, EB = 10 inches, and ED = 5 inches.
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To find the length of segment CE, we need to use the concept of the triangle inequality. The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we can apply the triangle inequality to triangle ABE and triangle CED. Since we want to find the length of CE, we can compare AE + EB with ED and CE + ED with AE + EB.
AE + EB > ED
8 inches + 10 inches > 5 inches
18 inches > 5 inches
Based on the triangle inequality, this condition is satisfied, so we can move on to the next step.
CE + ED > AE + EB
CE + 5 inches > 8 inches + 10 inches
CE + 5 inches > 18 inches
Subtracting 5 inches from both sides, we get:
CE > 13 inches
Therefore, the length of segment CE must be greater than 13 inches. However, we cannot determine the exact length of CE with the given information.