Question: An archaeologist discovers a triangular tile in an ancient Andean settlement with sides of $7$ cm, $24$ cm, and $25$ cm. What is the radius of the inscribed circle?

["Discover the Hidden Geometry of Ancient Andean Civilization \nAn archaeologist recently uncovered a triangular tile embedded in the ruins of an ancient Andean settlement, measuring 7 cm, 24 cm, and 25 cm on its sides. What might seem like a simple relic holds profound mathematical significance—particularly in the study of geometric shapes from early human history. Curious users are now asking: What is the radius of the inscribed circle within this tile, and why does this question matter beyond history? This inquiry reflects growing interest in merging cultural heritage with mathematical storytelling, especially as audiences seek meaningful engagement with ancient innovations.", "### Why This Discovery Is Gaining Attention in the US \nAcross the United States, a surge in educational content explores how ancient societies applied advanced geometry. This particular find—ymmetrical, precisely proportioned, and tied to a real archaeological context—resonates deeply with an audience fascinated by both history and science. The tile’s triangle follows the Pythagorean triple 7² + 24² = 25², instantly connecting it to timeless mathematical principles. With mobile browsing dominating, users seeking digestible, visually aided explanations are turning to content that transforms facts into insight. This discovery invites wonder through data, ignoring sensationalism while spotlighting authentic learning.", "### Understanding the Triangle and Inscribed Circle Radius", "How to Calculate the Inradius of This Triangle \nThe inscribed circle, or incircle, touches all three sides from within. To find its radius—denoted \( r \)—begins with the triangle’s area and semi-perimeter. The semi-perimeter \( s \) is simply half the sum of the sides: \n\[\ns = \frac{7 + 24 + 25}{2} = 28 \ ext{ cm}\n"]