Question

find the value of t.
14.8 in
8.5 in
perimeter = 38.1 inches
t = inches

Explanation:

Step1: Recall perimeter of triangle

The perimeter of a triangle is the sum of its three sides. Let the sides be \( a = 14.8 \) in, \( b = t \) in, and \( c = 8.5 \) in, and perimeter \( P = 38.1 \) in. So, \( P=a + b + c \).

Step2: Substitute values and solve for t

Substitute the known values into the formula: \( 38.1=14.8 + t+ 8.5 \). First, add \( 14.8 \) and \( 8.5 \): \( 14.8 + 8.5 = 23.3 \). Then the equation becomes \( 38.1=23.3 + t \). Subtract \( 23.3 \) from both sides: \( t = 38.1 - 23.3 \).

Step3: Calculate the result

\( 38.1-23.3 = 14.8 \).

Answer:

\( 14.8 \)