acute triangle definition geometry
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted. In Euclidean geometry any three points, when non-collinear, determine a unique triangle and a unique plane (i.e. a two-dimensional Euclidean space). This article is about triangles in Euclidean geometry except where otherwise noted. 1. (Mathematics) geometry a three-sided polygon that can be classified by angle, as in an acute triangle, or by side, as in an equilateral triangle. Sum of interior angles: 180°; area: base × height. 2. any object shaped like a triangle. 3. any situation involving three parties or points of view. Please provide your email for a free trial as a Teacher or Student. This trial will be valid for the current academic year (2015-16). An email to this address includes the password to login to the full web application. A triangle that has all angles less than 90° (90° is a Right Angle). The Pythagorean theorem is a very popular theorem that shows a special relationship between the sides of a right triangle. In this tutorial, you'll get introduced to the Pythagorean theorem and see how it's used to solve for a missing length on a right triangle! acute triangle, acute-angled triangle-a triangle whose interior angles are all acute. equiangular triangle, equilateral triangle-a three-sided regular polygon. isosceles triangle-a triangle with two equal sides. oblique triangle-a triangle that contains no right angle. triangle-a percussion instrument consisting of a metal bar bent in the shape of an open triangle. percussion instrument, percussive instrument-a musical instrument in which the sound is produced by one object striking another. Translations. Keywords: 1  definition. 2  triangle. 3  triangles. 4  acute. 5  acute triangle. 6  acute triangles. 7  obtuse. 8  obtuse triangle. 9  obtuse triangles. 10  right. 11  right triangle. 12  right triangles. 13  angle. 14  angles. 15  acute angles. 16  obtuse angles. 17  right angles. 18  acute angle. 19  obtuse angle. 20  right angle. 21  180. 22  180 degrees. 23  add to 180. 24  triangle sum theorem. 1 An isosceles triangle also has two angles of the same measure; namely, the angles opposite to the two sides of the same length; this fact is the content of the isosceles triangle theorem, which was known by Euclid. A triangle where all three internal angles are acute (less than 90 degrees). Try this Drag the orange dots on each vertex to reshape the triangle. If any angle becomes 90 degrees or more, it is not an acute triangle. In any triangle, two of the interior angles are always acute (less than 90 degrees) , so there are three possibilities for the third angle: 1  Less than 90° - all three angles are acute and so the triangle is acute. 2  Exactly 90° - it is a right triangle. 3  Greater than 90° (obtuse): the triangle is an obtuse triangle.
Angled triangle,a triangle whose interior angles are all acute.