The perimeter of triangle is 288 inches, and its lengths are .

First, unites changes from inches to feet.

.

Therefore .

The perimeter formula for triangle is the sum of its three lengths, .

Substitute the values of in the above formula.

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Apply distributive property: .

Group like terms.

Combine like terms.

Apply addition property of equality: If then . \ \

Add 6 to each side.

.

Apply division property of equality: If then .

Divide each side by 15.

Cancel common terms.

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Substitute the value of in the lengths .

.

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The lengths of the triangle are 8 feet, 6 feet and 10 feet.

The value of and the lengths of the triangle are 8 feet, 6 feet and 10 feet.