Definition of Perimeter
Examples of Perimeter
Solved Example on Perimeter
ABC is an equilateral triangle and the perimeter of triangle ABC is 12 in. Find the measure of each side.
A. 36 in.
B. 4 in.
C. 12 in.
D. 6 in.
Correct Answer: B
Step 1: In triangle ABC, AB = BC = CA
Step 2: Let AB = BC = CA = x in.
Step 3: Perimeter of ΔABC = AB + BC + CA
Step 4: AB + BC + CA = 12
Step 5: x + x + x = 12 [Substitute AB = BC = CA = x.]
Step 6: 3x = 12 [Combine like terms.]
Step 7: [Divide each side by 3.]
Step 8: x = 4 [Simplify.]
Step 9: AB = BC = CA = 4 in.
Step 10: So, the measure of each side is 4 in.
Related Terms for Perimeter