QuestionJuly 26, 2025

A triangle has a perimeter of 22 inches Two of the sides measure 6 inches and 10 inches. What is the length of the third side? square inches

A triangle has a perimeter of 22 inches Two of the sides measure 6 inches and 10 inches. What is the length of the third side? square inches
A triangle has a perimeter of 22 inches Two of the sides measure 6 inches and 10 inches. What is the
length of the third side?
square  inches

Solution
3.1(238 votes)

Answer

6 inches Explanation 1. Identify the formula for perimeter The perimeter of a triangle is the sum of all its sides. If a, b, and c are the sides, then **Perimeter = a + b + c**. 2. Substitute known values Given perimeter = 22 inches, side a = 6 inches, side b = 10 inches. Substitute these into the formula: 22 = 6 + 10 + c. 3. Solve for the third side Rearrange to find c: c = 22 - 16.

Explanation

1. Identify the formula for perimeter<br /> The perimeter of a triangle is the sum of all its sides. If $a$, $b$, and $c$ are the sides, then **Perimeter = a + b + c**.<br /><br />2. Substitute known values<br /> Given perimeter = 22 inches, side $a = 6$ inches, side $b = 10$ inches. Substitute these into the formula: $22 = 6 + 10 + c$.<br /><br />3. Solve for the third side<br /> Rearrange to find $c$: $c = 22 - 16$.
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