Sat, 02 May 2026 15:23:57 +0000

A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Verify if this is a right triangle using the Pythagorean theorem. This ratio of sides sparks immediate interest—what makes these numbers special? For curious minds and practical learners, checking if this triangle fits a classic geometric pattern opens doors to deeper understanding, especially where structure meets function in everyday contexts. Understanding right triangles isn’t just academic—this shape appears in construction, design, and engineering. The side lengths 7, 24, and 25 form a well-known Pythagorean triplet, meaning they satisfy a fundamental relationship defined by the Pythagorean theorem: the square of the longest side equals the sum of the squares of the other two.
Calculating carefully:
7² = 49,
24² = 576,
25² = 625
Add 49 + 576 = 625 — the values align perfectly.
This confirms the triangle is right-angled, with the 25 cm side as the hypotenuse. Even beyond math classrooms, this triangle matters. In mobile-first digital culture, instantly verifying such geometric truths helps users solve real-world problems — from planning structures on apps to inspecting blueprints via digital tools. Curiosity about this 7-24-25 triangle naturally leads to exploring more about geometry’s role in technology, architecture, and product design. A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Verify if this is a right triangle using the Pythagorean theorem — it’s a simple check powering bigger insights. This triplet stands as a reliable example reinforcing geometric principles that underpin fields where accuracy matters: carpentry, interior design, and even video-frame proportions.