If a triangle has sides of lengths 7 cm, 24 cm, and 25 cm, is it a right triangle?

Tue, 05 May 2026 15:57:30 +0000

**If a triangle has sides of lengths 7 cm, 24 cm, and 25 cm, is it a right triangle?** Curiosity about triangle properties continues to grow online—especially as simple geometry shapes community discussions around accuracy, patterns, and real-world applications. For many in the US, this question isn’t just academic: it’s part of a broader interest in building confidence in math fundamentals, whether for personal learning, DIY projects, or exploring data trends. So, if a triangle has sides measuring 7 cm, 24 cm, and 25 cm, is it a right triangle? Yes—it is. This fact — that these side lengths satisfy the Pythagorean Theorem — unlocks clear patterns that matter across education, design, and real-world problem solving. On paper, the Pythagorean Theorem states that in any 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. Calculating each square:
7² = 49
24² = 576
25² = 625
Add the first two: 49 + 576 = 625.
Since the sum matches the third, the triangle confirms a right angle at the vertex opposite the 25 cm side.