A triangle has sides of lengths 7, 24, and 25. Is it a right triangle? If so, find the area.

Thu, 16 Apr 2026 06:08:17 +0000

**A triangle has sides of lengths 7, 24, and 25. Is it a right triangle? If so, find the area.** Curious about whether a triangle with sides measuring 7, 24, and 25 forms a perfect right triangle? This specific combination is sparking quiet interest across digital circles, particularly among learners, math enthusiasts, and viewership exploring geometry in everyday life. The question isn’t just academic—many are using this shape to understand structural patterns, design principles, or real-world applications in architecture and engineering. Understanding if it’s a right triangle unlocks clarity on area calculations, often requested when designing spaces or analyzing layouts. Using the Pythagorean Theorem—where in a right triangle, the sum of the squares of the two shorter sides equals the square of the longest—we verify:
7² + 24² = 49 + 576 = 625
25² = 625 The equality holds, confirming this triangle is indeed a right triangle. With legs measuring 7 and 24, the area follows the standard formula: (1/2) × base × height. The result is simple yet satisfying: 84 square units. This efficient calculation appeals to users on the go who value clarity and precision.