Question

find the length of the third side of the triangle if its perimeter is 837 inches, and the two side lengths as labeled below (in inches): the third side is □ inches. hint question help: 💾 message instructor submit question

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. We know \( P = 837 \), \( a = 344 \), \( b = 253 \), and we need to find \( c \). Rearranging the formula gives \( c = P - a - b \).

Step2: Substitute values

Substitute \( P = 837 \), \( a = 344 \), \( b = 253 \) into the formula: \( c = 837 - 344 - 253 \).

Step3: Perform subtraction

First, \( 837 - 344 = 493 \). Then, \( 493 - 253 = 240 \).

Answer:

240