isosceles Triangle
A triangle that has 2 equal sides.
An isosceles triangle is a special type of triangle where two sides are of equal length. It is also known as a two-legged triangle since it has two sides of equal length, and is symmetrical about its vertical axis.
Properties of an Isosceles Triangle:
1. Two sides of the triangle are equal in length.
2. The two angles opposite to the equal sides are also equal.
3. The angle formed by the unequal side is opposite to the unequal side and is called the vertex angle.
Types of Isosceles Triangle:
1. Acute Isosceles Triangle: In this type of isosceles triangle, all three angles are less than 90 degrees.
2. Right Isosceles Triangle: This type of isosceles triangle has one right angle and two equal acute angles.
3. Obtuse Isosceles Triangle: In this type of isosceles triangle, one angle is greater than 90 degrees, and the other two angles are acute angles.
Applications of Isosceles Triangle:
1. In architecture, isosceles triangles are used in the design of arches and vaults, where the stability of the structure depends on the symmetry of the triangle.
2. In geometry, isosceles triangles are used as building blocks to create other shapes and to solve complex problems.
3. In trigonometry, isosceles triangles are used to calculate various trigonometric functions such as sine, cosine, and tangent.
In conclusion, the isosceles triangle is an important and widely used geometric shape, having applications in various fields such as architecture, engineering, geometry, and trigonometry.
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