Geometric mean theorem
id:
geometric-mean-theorem-184-17446571
title:
Geometric mean theorem
text:
In Euclidean geometry, the geometric mean theorem or right triangle altitude theorem is a relation between the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse. It states that the geometric mean of the two segments equals the altitude. Expressed as a mathematical formula, if h denotes the altitude in a right triangle and p and q denote the segments that the altitude creates on the hypotenuse, it can be stated as:
- h = p q or in term of area
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem about right triangles
original url:
https://en.wikipedia.org/wiki/Geometric_mean_theorem
date created:
2012-12-20T06:38:40Z
date modified:
2024-09-07T16:15:43Z
main entity:
{"identifier":"Q2226868","url":"https://www.wikidata.org/entity/Q2226868"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/ee/Hoehensatz2.svg","width":422,"height":310}
fields total:
13
integrity:
16