Tue, 05 May 2026 19:17:17 +0000

A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Verify if it is a right triangle and calculate its area. This set of measurements offers more than a simple geometry problem—it’s a frequently discussed example in everyday online learning, geometry review, and hands-on math applications. With growing interest in visual learning and clear, factual explanations, this triangle stands out as a go-to model for teaching key mathematical principles, especially among US users exploring STEM topics. Is this triangle a right triangle? The answer lies in the classic Pythagorean theorem, which states that for a right triangle, the square of the longest side (the hypotenuse) equals the sum of the squares of the other two sides. Here, 25 cm is the longest side. Check: 7² + 24² = 49 + 576 = 625, and 25² = 625. Since both sides are equal, this triangle is confirmed to be right-angled. Why is this combination so compelling? It’s not just mathematical accuracy—it reflects a rare intersection of simplicity, symmetry, and real-world applicability. Users searching for “A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Verify if it is a right triangle and calculate its area” are often building foundational skills or exploring geometry in casual, mobile-first environments. This triangle appears in educational apps, colorful infographics, and platforms supporting STEM learning—especially where visual aids reinforce learning. Next, the area calculation. For a right triangle, area equals one-half the product of the two legs. Here, those legs measure 7 cm and 24 cm. Multiplying: 7 × 24 = 168, then dividing by 2 gives 84 square centimeters. This straightforward computation aligns well with mobile readers who prefer clear, step-by-step logic without jargon.