Question

find the length of the third side of the triangle if its perimeter is 86 inches, and the two side lengths are as labeled below (in inches): triangle diagram with sides 37, 27, and side in red the third side is blank inches. question help: message instructor next question get a similar question you can retry this question below

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 \( P = 86 \), \( a = 37 \), \( b = 27 \), we solve for \( c \): \( 86 = 37 + 27 + c \).

Step3: Simplify and solve for \( c \)

First, calculate \( 37 + 27 = 64 \). Then, \( 86 - 64 = c \), so \( c = 22 \).

Answer:

22