5
QuizMultiple Choice

Trigonometric Applications — Test

Question 5 • Mathematics III

What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.

Answer
A
62 square centimeters
B
25 square centimeters
C
72 square centimeters
D
15 square centimeters

Explanation

An equilateral triangle has three equal sides, so each side is 36 ÷ 3 = 12 centimeters. Its area is (√3 ÷ 4) × 12² = 36√3 ≈ 62.4 square centimeters. Rounded to the nearest square centimeter, the area is 62 square centimeters, choice C.

AI-written and checked against the verified answer.

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