
Isosceles continued to play around Glasgow, with the band supporting Correcto, Clinic, The Vaselines and Shonen Knife. In September of 2008 the band played at the Venice Biennale of Architecture in Venice. Further gigs in England we're followed by appearances at Glastonbury and T In The Park.

Alex Kapranos from Franz Ferdinand was at the single launch and asked Isosceles to support them on a tour of the Scottish Highlands including gigs in Inverness, Fort William, Dundee and Portree.Īt the start of 2008 they began their first tour of England before releasing their second single "Kitch Bitch / Watertight" in April. This exposure resulted in the Leeds based independent record label Art Goes Pop offering to release "Get Your Hands Off / I Go" in 2007. The band is composed of Jack Valentine, William Aikman, Andrew Wilson and Bobby Duff.įormed in 2006 for a one-off gig, the band began playing gigs around Glasgow and recording songs which would eventually be played by Vic Galloway on Radio One. Isosceles are an indie pop band formed in Glasgow, Scotland. The two angles opposite the legs are equal and are always acute, so the classification of the triangle as acute, right, or obtuse depends only on the angle between its two legs.įreebase Rate this definition: 0.0 / 0 votes The other dimensions of the triangle, such as its height, area, and perimeter, can be calculated by simple formulas from the lengths of the legs and base.Įvery isosceles triangle has an axis of symmetry along the perpendicular bisector of its base.

The two equal sides are called the legs and the third side is called the base of the triangle. Isosceles triangles have been used as decoration from even earlier times, and appear frequently in architecture and design, for instance in the pediments and gables of buildings. The mathematical study of isosceles triangles dates back to ancient Egyptian mathematics and Babylonian mathematics. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.Įxamples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces of bipyramids and certain Catalan solids. In geometry, an isosceles triangle () is a triangle that has two sides of equal length. If and only if one pair of internal angles of two triangles have the same measure as each other, and another pair also have the same measure as each other, the triangles are similar.Wikipedia Rate this definition: 0.0 / 0 votes An isosceles triangle with angles of 45, 90 and 45 is built using this line as its hypotenuse.Some basic theorems about similar triangles are: The corresponding sides of similar triangles have lengths that are in the same proportion, and this property is also sufficient to establish similarity. Two triangles are said to be similar, if every angle of one triangle has the same measure as the corresponding angle in the other triangle. The sum of the measures of the three exterior angles (one for each vertex) of any triangle is 360 degrees. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it this is the exterior angle theorem. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. This allows determination of the measure of the third angle of any triangle, given the measure of two angles. This fact is equivalent to Euclid's parallel postulate. The sum of the measures of the interior angles of a triangle in Euclidean space is always 180 degrees. It defines the trigonometric functions of sine, cosine, and tangent, and explores how electronic calculators can be used to solve triangle mea- surement. The measures of the interior angles of the triangle always add up to 180 degrees (same color to point out they are equal). In other words, if two opposite sides (bases) of the trapezoid are parallel, and the two non-parallel sides are of equal lengths, then it is an isosceles trapezoid. Elementary facts about triangles were presented by Euclid, in books 1–4 of his Elements, written around 300 BC. An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure. In rigorous treatments, a triangle is therefore called a 2- simplex (see also Polytope). Triangles are assumed to be two- dimensional plane figures, unless the context provides otherwise (see § Non-planar triangles, below).

A triangle with vertices A, B, and C is denoted △ A B C īasic facts A triangle, showing exterior angle d. It is one of the basic shapes in geometry. A triangle is a polygon with three edges and three vertices.
