A right triangle has legs of length 9 and 12. What is the length of the hypotenuse, in units?

Tue, 05 May 2026 17:35:18 +0000

**A right triangle has legs of length 9 and 12. What is the length of the hypotenuse, in units?**
This question reflects growing public interest in practical geometry—applications in construction, design, education, and emerging tech. With curiosity spikes around spatial reasoning and real-world math, many users are seeking clear, reliable answers without flashy claims. Right triangles follow the Pythagorean Theorem, a foundational principle in mathematics. For a right triangle with legs measuring 9 units and 12 units, the hypotenuse connects the right angle’s endpoints and measures the longest side. Using the theorem—\(c^2 = a^2 + b^2\)—we calculate: \(c^2 = 9^2 + 12^2 = 81 + 144 = 225\)
\(c = \sqrt{225} = 15\) Thus, the hypotenuse is exactly 15 units long—a precise result rooted in centuries of mathematical tradition.