Question: A hydrologist models a triangular aquifer with sides 13 km, 14 km, and 15 km. What is the radius of the inscribed circle (in km)?

Wed, 06 May 2026 13:46:41 +0000

**A hydrologist models a triangular aquifer with sides 13 km, 14 km, and 15 km. What is the radius of the inscribed circle (in km)?** Curious about how water flows beneath decades-old landscapes, hydrologists often map complex underground systems using precise geometric models. One classic tool for estimating flow efficiency in aquifers is the inscribed circle—representing the drainage zone centered within the triangular formation of permeable rock. For someone exploring groundwater resources in the US, the question arises: What is the radius of the inscribed circle (in kilometers) when modeling a triangular aquifer with sides 13 km, 14 km, and 15 km? This seemingly niche calculation holds practical value in identifying sustainable extraction zones and managing vital water supplies across rural and urban regions. Technology and environmental data converge, driving interest in efficient groundwater modeling. These geometric models help hydrologists visualize flow pathways and recharge areas critical for water allocation planning. As climate pressures increase, accurate modeling of porous systems becomes indispensable—making precise computed parameters like the inscribed circle radius both relevant and rigorous. **Understanding the Triangle and Its Circle**