An isosceles triangle has

A triangle with two sides of equal length is an isosceles triangle.

An isosceles triangle is a triangle with at least two equal sides. In the figure above, the two equal sides have length and the remaining side has length. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso same and skelos leg. A triangle with all sides equal is called an equilateral triangle , and a triangle with no sides equal is called a scalene triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal.

An isosceles triangle has

Isosceles triangles are those triangles that have two sides of equal measure. We know that triangles are three-sided polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides. In this article, we will learn about the definition of an isosceles triangle, its properties, and some isosceles triangle examples. An isosceles triangle is a triangle that has two sides of equal length. Let us do a small activity to understand this better. Take a rectangular sheet of paper and fold it in half. Draw a line from the top folded corner to the bottom edge as shown in the figure given below. You can see a triangle when you open the sheet. Mark the vertices of the triangle as O, D, and C. Now measure OD and OC. Repeat this activity with different measures and observe the pattern. We can observe that OD and OC are always equal. This type of triangle where two sides are equal is called an isosceles triangle.

An isosceles triangle therefore has both two equal sides and two equal angles.

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. Examples of isosceles triangles include the isosceles right triangle , the golden triangle , and the faces of bipyramids and certain Catalan solids. The mathematical study of isosceles triangles dates back to ancient Egyptian mathematics and Babylonian mathematics. 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 two equal sides are called the legs and the third side is called the base of the triangle. 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.

Forgot password? New user? Sign up. Existing user? Log in. Already have an account? Log in here. An isosceles triangle is a triangle that has at least two equal side lengths. If all three side lengths are equal, the triangle is also equilateral.

An isosceles triangle has

An isosceles triangle is a triangle with at least two equal sides. In the figure above, the two equal sides have length and the remaining side has length. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles. The name derives from the Greek iso same and skelos leg. A triangle with all sides equal is called an equilateral triangle , and a triangle with no sides equal is called a scalene triangle.

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In other projects. What is the perimeter of an isosceles triangle? What is the area of the isosceles triangle? The center of the circle lies on the symmetry axis of the triangle, this distance below the apex. Commercial Maths. See in particular p. We know that an isosceles triangle is a two-dimensional shape with three sides. Share Share Share Call Us. The fact that all radii of a circle have equal length implies that all of these triangles are isosceles. Examples of isosceles triangles include the isosceles right triangle , the golden triangle , and the faces of bipyramids and certain Catalan solids. The converse of the isosceles triangle theorem is also true which states that in a triangle if two angles are equal then the sides opposite to those angles are also equal. An isosceles triangle has a vertex angle and two base angles. Online Tutors. Depends on the angles between the two legs of a triangle, the isosceles triangle is classified as: Isosceles acute triangle Isosceles right triangle Isosceles obtuse triangle.

Isosceles triangles are those triangles that have two sides of equal measure. We know that triangles are three-sided polygons and they are classified as equilateral, isosceles, and scalene, based on the length of their sides.

Can you find all the angles of an isosceles triangle if you know one of the equal angles? As we know that the different dimensions of a triangle are legs, base, and height. The theorem that the base angles of an isosceles triangle are equal appears as Proposition I. The formula to calculate the area of an isosceles triangle is given by:. It contains the properties of both right triangles and isosceles triangles. Terms and Conditions. A triangle can be scalene, isosceles, or equilateral when classified on the basis of the length of its sides. The altitude of the triangle forms the required right angle and the altitude becomes the shared legs. Every isosceles triangle has an axis of symmetry along the perpendicular bisector of its base. In geometry, triangle is a three-sided polygon that is classified into three categories based on its sides, such as:. Schwarz , Verlag von Julius Springer, pp. Observe the table given below to understand the differences and similarities in scalene, equilateral, and isosceles triangles. What is the perimeter of an isosceles triangle? United Kingdom. Maths Math Article Isosceles Triangle.