Question

a triangle has a perimeter of 128 feet. it also has two sides measuring 56 feet and 42 feet, respectively. find the length of the third side of the triangle. the length of the third side is ____ feet.

Explanation:

Step1: Define the unknown side

Let \( x \) be the length of the third side. The perimeter of a triangle is the sum of its three sides, so we set up the equation: \( 128 = x + 56 + 42 \)

Step2: Simplify the right - hand side

Simplify \( 56 + 42 \), we get \( 56+42 = 98 \). So the equation becomes \( 128=x + 98 \)

Step3: Solve for \( x \)

Subtract 98 from both sides of the equation: \( 128-98=x+98 - 98 \)
Calculate \( 128 - 98=30 \), so \( x = 30 \)

Answer:

30