In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to a line containing the side opposite the vertex. This line...

A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular...

if the circumcenter is located outside the triangle, then the triangle is obtuse. An altitude of a triangle is a straight line through a vertex and perpendicular...

point of the triangle's three altitudes, each of which perpendicularly connects a side to the opposite vertex. In the case of an acute triangle, all three...

geometry, the right triangle altitude theorem or geometric mean theorem is a relation between the altitude on the hypotenuse in a right triangle and the two line...

{R}{2}}} The geometric center of the triangle is the center of the circumscribed and inscribed circles The altitude (height) from any side is h = 3 2 a...

that the altitude bisects the base and partitions the isosceles triangle into two congruent right triangles. The Euler line of any triangle goes through...

T=bh/2,} where b is the length of the base of the triangle, and h is the height or altitude of the triangle. The term "base" denotes any side, and "height"...

coordinate system Altitude (triangle), in geometry, a line passing through one vertex of a triangle and perpendicular to the opposite side Altitude (ALT album)...

triangles have bases of equal length and share a common altitude from the (extended) base, and a triangle's area equals one-half its base times its height. We...

triangle ABC with side length 2 and with point D as the midpoint of segment BC. Draw an altitude line from A to D. Then ABD is a 30°–60°–90° triangle...

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length...

The Bermuda Triangle, also known as the Devil's Triangle, is an urban legend focused on a loosely defined region in the western part of the North Atlantic...

not an altitude of triangle △ABC. Let B1 be the base (foot) of the altitude in the triangle △ABD through B and let C1 be the base of the altitude in the...

triangle and forming the altitude of the triangle. Two small constellations, Sagitta and Vulpecula, lie between Aquila in the south of the triangle and...

altitude of the triangle on base a {\displaystyle a} has length b sin ⁡ γ {\displaystyle b\sin \gamma } , and it follows A = 1 2 ( base ) ( altitude )...

trigonometric functions of those angles, the area of the triangle, the medians of the sides, the altitudes, the lengths of the internal angle bisectors from...

incircle is a triangle center called the triangle's incenter. An excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent...

the geometric shape. Triangle Acute and obtuse triangles Altitude (triangle) Area bisector of a triangle Angle bisector of a triangle Angle bisector theorem...

the triangle The foot of each altitude The midpoint of the line segment from each vertex of the triangle to the orthocenter (where the three altitudes meet;...

An integer triangle or integral triangle is a triangle all of whose side lengths are integers. A rational triangle is one whose side lengths are rational...

parts d and e. The new triangle, ACH, is similar to triangle ABC, because they both have a right angle (by definition of the altitude), and they share the...

then the altitude dropped perpendicularly from the apex to the base intersects the extended base outside of the triangle. The area of a triangle is its...

In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example,...

A ternary plot, ternary graph, triangle plot, simplex plot, or Gibbs triangle is a barycentric plot on three variables which sum to a constant. It graphically...

any interior point to the sides of an equilateral triangle equals the length of the triangle's altitude. It is a theorem commonly employed in various math...

Heronian triangle (or Heron triangle) is a triangle whose side lengths a, b, and c and area A are all positive integers. Heronian triangles are named...

Black triangles are UFOs reported as having a triangular shape and dark color, typically observed at night, described as large, silent, hovering, moving...

The Emerald Triangle is a region in Northern California, named as such due to it being the largest cannabis-producing region in the United States. The...

Several high-altitude airspace security events were reported in February 2023, initially over North America, then over Latin America, China, and Eastern...