Question

a triangle has a perimeter of 42 millimeters. two of the sides measure 14 millimeters and 14 millimeters. what is the length of the third side?
millimeters
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Explanation:

Step1: Recall perimeter formula

The perimeter \( P \) of a triangle is the sum of its three sides, so \( P = a + b + c \), where \( a \), \( b \), \( c \) are the side lengths.

Step2: Substitute known values

Given \( P = 42 \), \( a = 14 \), \( b = 14 \). Substitute into the formula: \( 42 = 14 + 14 + c \).

Step3: Solve for \( c \)

First, calculate \( 14 + 14 = 28 \). Then, \( c = 42 - 28 = 14 \).

Answer:

14