The following figure shows a triangle ABC. Isosceles triangles are defined or identified because they have several properties that represent them, originating from the theorems proposed by great mathematicians: All triangles have three heights, which coincide at a point called the orthocenter. The height: is the line that goes from the vertex to the side that is opposite and also this line is perpendicular to that side.There are three mediatices in a triangle and they meet at a point called the circumcenter. The mediatrix: is a segment perpendicular to the side of the triangle, which has its origin in the middle of the triangle.That is why it is known as the axis of symmetry and this type of triangles has only one. Bisector: is a ray that divides the angle of each vertex into two angles of equal measure.The three medians meet at a point called the center of gravity or centroid. Median: is a line that starts from the midpoint of one side and reaches the opposite vertex.All its angles are acute (<90 or), where two have the same measure. Isosceles acute triangle: two of its sides are equal.Isosceles obtuse triangle: two of its sides are equal.One of its angles is right (90 or) and the others are the same (45 or each) Isosceles right triangle: two of its sides are equal.The isosceles triangle was classified using the measure of its sides as a parameter, since two of its sides are congruent (they have the same length).īased on the amplitude of the interior angles, isosceles triangles are classified as: They are the ones that have the least number of sides and angles with respect to the other polygons, however their use is very extensive. Triangles are polygons considered the simplest in geometry, because they are made up of three sides, three angles, and three vertices. Due to this characteristic it was given this name, which in Greek means “equal legs”
#Isosceles triangle area formula how to#
How to calculate the base of the triangle?Ī isosceles triangle is a polygon with three sides, where two of them have the same measure and the third side a different measure.Ortocenter, barycenter, incenter, and coincident circumcenter.Height, median, bisector, and bisector are coincident.Video: Area of an isosceles triangle Content
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