Question: An equilateral triangle with side length 14 cm is used as a base for a sustainable solar panel array. If each side is increased by 2 cm to enhance energy capture, by how many square centimeters does the area increase?

Mon, 04 May 2026 17:01:39 +0000

**An equilateral triangle with side length 14 cm is used as a base for a sustainable solar panel array. If each side is increased by 2 cm to enhance energy capture, by how many square centimeters does the area increase?** As conversations around renewable energy grow, innovative approaches to solar panel design are drawing attention—especially when engineering choices like triangle geometry play a key role. Today, this question stands out: An equilateral triangle with side length 14 cm forms the foundation of a sustainable solar array. Raising each side by 2 cm to capture more sunlight raises a simple yet impactful question: How much more energy—and area—does this design gain? While the context centers on clean tech, the math behind it offers a precise answer rooted in geometry, valuable for understanding efficiency gains in solar infrastructure. This isn’t just abstract trim protocols. Solar farms and mounting systems often use geometric foundations for balance, stability, and optimal space usage. Increasing each side of an equilateral triangle from 14 cm to 16 cm alters the total active area, which directly influences energy output and material efficiency. Understanding the area change helps stakeholders evaluate design trade-offs and invest wisely. An equilateral triangle’s area is calculated using the formula:
Area = (√3 / 4) × side²
For a side of 14 cm, the original area is
(√3 / 4) × 196 ≈ 50.48 cm² × √3 ≈ 87.56 cm² (exact value ≈ 169.74 cm²)