A ladder is leaning against a wall, forming a right triangle with the ground. The ladder is 10 meters long and reaches a height of 8 meters on the wall. How far is the base of the ladder from the wall?

Thu, 07 May 2026 00:26:50 +0000

A ladder leaning against a wall forms a classic example of a right triangle—where the ladder’s length is the hypotenuse, the wall height is one leg, and the base distance from the wall is the other. When a 10-meter ladder reaches 8 meters high, the question naturally arises: how far does its base rest from the wall? This combination of geometry and real-world experience sparks curiosity, especially as people face practical challenges involving ladders for home, DIY, or professional purposes. With over 10 million annual searches around home safety, project planning, and space efficiency, this topic resonates deeply with US users seeking clear, reliable information. Why A ladder is leaning against a wall, forming a right triangle with the ground. The ladder is 10 meters long and reaches a height of 8 meters on the wall. How far is the base of the ladder from the wall?
This setup follows the Pythagorean theorem: if hypotenuse = 10 meters and one leg = 8 meters, the base distance can be calculated as the square root of 10² minus 8². That corresponds to √(100 – 64) = √36 = 6 meters. The base stands 6 meters from the wall, creating an efficient, stable position ideal for climbing or placing tools. Culturally, DIY home projects and safe ladder use have risen in popularity across the US, driven by increased home improvement interest and growing safety awareness. Informational content explaining this geometry helps users visualize space and apply best practices confidently. Mobile users benefit from clear breakdowns that fit a quick scan without sacrificing accuracy—key for discoverability in search and Discover feeds. How A ladder is leaning against a wall, forming a right triangle with the ground. The ladder is 10 meters long and reaches a height of 8 meters on the wall. How far is the base of the ladder from the wall?
The answer, 6 meters, relies on the mathematical relationship between the sides of a right triangle. This equation—using a² + b² = c²—forms the foundation of endless practical applications, from furniture placement to construction planning. The clarity of this simple geometric principle supports user trust and encourages deeper exploration.