Solution: Let the triangle have sides $ a = 7 $, $ b = 10 $, $ c = 13 $. First, compute the area using Herons formula. The semi-perimeter is:

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**How to Calculate Triangle Area with Heron’s Formula — What You Need to Know** When faced with a triangle defined by side lengths rather than heights or angles, Heron’s formula offers a reliable, elegant solution — especially useful in math education, architecture, and design. Recent interest in precise geometric calculations has grown, fueled by trends in STEM learning, DIY home projects, and software tools for spatial analysis. Understanding how to compute area using Heron’s formula empowers users to quickly answer real-world questions about space, material needs, and design efficiency. **Why Is Heron’s Formula Gaining Attention Today?** Across the US, interest in geometry refreshers is rising, driven by both school curricula and DIY communities. Platforms focused on practical math and visual learning are seeing increased engagement as users seek clear, no-faff methods to understand geometric shapes. Heron’s formula stands out because it requires no trigonometric assumptions — just side lengths — making it accessible and widely applicable beyond the classroom.