describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 12 feet and 18 feet. $ \square $ ft $

Question

describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 12 feet and 18 feet. $ \square $ ft $ < x < $ $ \square $ ft

Accepted Answer

# Explanation:
## Step1: Apply triangle - side - length relationship
In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side, and the difference between the lengths of any two sides must be less than the length of the third side. Let the lengths of the two given sides be $a = 12$ and $b=18$, and the length of the third side be $x$. Then $b - a<x<b + a$.
## Step2: Calculate the range
Substitute $a = 12$ and $b = 18$ into the inequality. $18-12<x<18 + 12$.
$$6<x<30$$

# Answer:
$6<x<30$

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Question

Explanation:

Step1: Apply triangle - side - length relationship

Step2: Calculate the range

Answer: