A triangle has sides 7, 24, and 25. Is it a right triangle? If yes, find its area.

Fri, 08 May 2026 22:59:37 +0000

**A triangle has sides 7, 24, and 25. Is it a right triangle? If yes, find its area.** Curious about geometric shapes that pop up more often than expected, many Americans are exploring a classic: a triangle with sides 7, 24, and 25. Is this trio a right triangle? And if so, what can that mean for understanding space, design, or even everyday patterns? This configuration isn’t just a math curiosity—it’s showing up in discussions around geometry, architecture, and digital patterns, sparking interest in its structure and real-world relevance. Discovering whether this triangle satisfies the Pythagorean theorem reveals more than just a classification—it opens a window into form, function, and natural symmetry. Is this triangle truly a right triangle? Yes, it is. The classic Pythagorean theorem states that in a right triangle, the square of the longest side (the hypotenuse) equals the sum of the squares of the other two sides. Here, 25 is the longest side, and 7² + 24² = 49 + 576 = 625. Since 25² = 625, this triangle qualifies as a right triangle, forming a clean, stable corner that’s intuitively recognizable. Beyond confirming the right-angle status, the shape unlocks practical insights. Area calculation is straightforward: multiply the base and height (7 and 24), then divide by 2. The result—84 square units—offers something tangible for learners interested in geometry’s real-world applications. Families, educators, and content creators exploring geometry focus on such shapes help make abstract math relatable and memorable.