Euclidean triangle can have more than one obtuse angle. Acute and obtuse triangles are the two different types of oblique triangles—triangles that are...

isosceles triangles represented the working class, with acute isosceles triangles higher in the hierarchy than right or obtuse isosceles triangles. As well...

developed later, and sine and cosine per se first appeared centuries afterward in India. The cases of obtuse triangles and acute triangles (corresponding...

Euclid. Equilateral triangle Isosceles triangle Scalene triangle Right triangle Acute triangle Obtuse triangle All types of triangles are commonly found...

theorem) For acute triangles, the feet of the altitudes all fall on the triangle's sides (not extended). In an obtuse triangle (one with an obtuse angle),...

Acute and obtuse triangles (oblique triangles) Spiral of Theodorus Trirectangular spherical triangle Di Domenico, Angelo S., "A property of triangles...

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

+ b2 < c2, then the triangle is obtuse. Edsger W. Dijkstra has stated this proposition about acute, right, and obtuse triangles in this language: sgn(α...

Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of...

between the Fermat point and X13 the domain of triangles with an angle exceeding 2π/3 is important; in other words, triangles for which any of the following...

geometry, triangle inequalities are inequalities involving the parameters of triangles, that hold for every triangle, or for every triangle meeting certain...

solution for every polygon and for every convex set, two special cases that both apply to triangles. Every acute triangle has three inscribed squares...

diagonal to form a pair of obtuse Robinson triangles; in contrast to the P2 tiling, these are larger than the acute triangles. The matching rules distinguish...

orthocenter is in an acute triangle's interior, on the right-angled vertex of a right triangle, and exterior to an obtuse triangle. In the complex plane...

angle, then the two triangles are congruent. If two triangles satisfy the SSA condition and the corresponding angles are acute and the length of the side...

the areas of the two triangles formed by the other diagonal. The areas S and T of some two opposite triangles of the four triangles formed by the diagonals...

two golden gnomons and a central golden triangle. The five points of a regular pentagram are golden triangles, as are the ten triangles formed by connecting...

trapezoid Triangle Acute and obtuse triangles Equilateral triangle Euler's line Heron's formula Integer triangle Heronian triangle Isosceles triangle List...

between integer triangles and rational triangles. Sometimes other definitions of the term rational triangle are used: Carmichael (1914) and Dickson (1920)...

called Heronian triangles or rational triangles; in this article, these more general triangles will be called rational Heronian triangles. Every (integral)...

opposite angle being obtuse, drawing a line at a negative angle means going outside the triangle.) In coastal navigation, a triangle's circumcircle is sometimes...

to as the obtuse and acute Robinson triangles. A golden triangle and two golden gnomons tile a regular pentagon. These isosceles triangles can be used...

from the acute and obtuse Schwarz triangles. The numbers that can be used for the sides of a non-dihedral acute or obtuse Schwarz triangle that does...

example with obtuse triangles. An example of acute 5-Con triangles is (1000; 1100; 1210) and (1100; 1210; 1331). The 5-Con right triangles are exactly...

triangles: five acute and five obtuse isosceles triangles. In all of them, the ratio of the longer side to the shorter side is φ. The acute triangles...

triangles can also be seen as a trigonal trapezohedron when its coplanar triangles are merged into rhombi. The two golden rhombohedra are the acute and...

The obtuse golden triangle is the gnomon of acute golden triangle The acute golden triangle is the gnomon of the obtuse golden triangle The acute golden...

considered the three cases right, obtuse, and acute that the summit angles of a Saccheri quadrilateral can take and after proving a number of theorems...

theorem) but one with acute triangle faces and with edges that in general do not lie along the edges of the given obtuse triangles. Two more types of tetrahedron...

nonobtuse triangle mesh is a polygon mesh composed of a set of triangles in which no angle is obtuse, i.e. greater than 90°. If each (triangle) face angle...