Question: A triangle has sides of lengths $ 13 $ cm, $ 14 $ cm, and $ 15 $ cm. What is the length of the shortest altitude?

Fri, 17 Apr 2026 04:35:04 +0000

**Why the 13-14-15 Triangle Still Holds Attention in US Education and Design—And What Its Shortest Altitude Reveals** When users browse curious math questions online, one triangle keeps surfacing: a triangle with sides measuring 13 cm, 14 cm, and 15 cm. Known for its elegant proportions and practical relevance, this triangle isn’t just an abstract shape—it’s a classic example used in geometry, architecture, and even digital design. Curious learners and educators alike ask: “What’s the shortest altitude in this triangle?” The answer lies not in flashy shortcuts but in clear geometry—an accessible entry point into spatial reasoning. ### Why This Triangle Is Trending Online Mathematical challenges involving specific triangle dimensions frequently appear in US classroom discussions and online learning communities. The 13-14-15 triangle, part of a well-known Heronian triple, offers precise geometric values that invite penetration beyond surface-level problem-solving. Its distinct side lengths produce an acute-angled triangle with elegant symmetry—qualities that draw learners interested in both classic math and real-world applications. Social listening tools show growing engagement around such problems, especially among mobile users seeking educational depth before diving deeper into geometry or physics concepts.