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A right triangle ABC with its right angle at C, hypotenuse c, and legs a and b,. A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular, forming a right angle (1 ⁄ 4 turn or 90 degrees).
Spherical geometry does not satisfy several of Euclid's axioms, including the parallel postulate.In addition, the sum of angles is not 180° anymore. For a spherical triangle, the sum of the angles is greater than 180° and can be up to 540°. The amount by which the sum of the angles exceeds 180° is calle
Consider a triangle ABC.Let the angle bisector of angle ∠ A intersect side BC at a point D between B and C.The angle bisector theorem states that the ratio of the length of the line segment BD to the length of segment CD is equal to the ratio of the length of side AB to the length of side AC:
The exterior angle theorem is Proposition 1.16 in Euclid's Elements, which states that the measure of an exterior angle of a triangle is greater than either of the measures of the remote interior angles.
Three examples of the triangle inequality for triangles with sides of lengths x, y, z.The top example shows a case where z is much less than the sum x + y of the other two sides, and the bottom example shows a case where the side z is only slightly less than x + y.
Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known.
The Golden Triangle of Jakarta (Indonesian: Segitiga Emas Jakarta), also referred to as the Medan Merdeka–Thamrin–Sudirman Axis (Indonesian: Poros Medan Merdeka–Thamrin–Sudirman) or the Sudirman–Thamrin–Kuningan Axis (Indonesian: Poros Sudirman–Thamrin–Kuningan), is a roughly triangular area in the center of Jakarta, Indonesia, extending from Central Jakarta to South Jakarta.
Beyond the triangular bipyramid as its dual polyhedron, many other polyhedrons are related to the triangular prism. A Johnson solid is a convex polyhedron with regular faces, and this definition is sometimes omitted uniform polyhedrons such as Archimedean solids, Catalan solids, prisms and antiprisms. [13]