Isosceles Triangles
What is Isosceles Triangle?
An isosceles triangle is a triangle with at least two sides equal and the corresponding angles opposite to them are also equal.
What is Perimeter of an Isosceles Triangle?
Perimeter of an isosceles triangle is equal to the sum of its three side lengths. If the isosceles triangle has equal side a and unequal side b then,
Perimeter = a + a + b
Perimeter = 2a + b
What is Area of Isosceles Triangle?
The area of an isosceles triangle is the space occupied by the boundary of the isosceles triangle. If the base of the isosceles triangle is b units and its height is h units then its, area is given as,
A = (½)×bh units2
What are Different Types of Isosceles Triangles?
Isosceles triangles are classified into three types depending on the measures of angles, which include
- Isosceles Acute triangle
- Isosceles Right triangle
- Isosceles Obtuse triangle
What is an Isosceles Right Triangle?
Isosceles right triangle, is a triangle which is a isosceles triangle and has a right angle. Here, one interior angle of the triangle is equal to 90°, while the other angles are acute angles and each measures 45°.
What are properties of Isosceles Triangle?
Some important properties of the isosceles triangle are,
- They have two sides of equal length.
- Angles opposite to the equal sides are equal in measure.
- Line of symmetry of Isosceles Triangle is perpendicular drawn from vertex of Isosceles Triangle.
Isosceles Triangle
An Isosceles triangle is defined as a triangle that has two equal sides. We know that a triangle has three angles and if any two of them are equal we call this triangle an Isosceles triangle as well. Thus, we can say that if a triangle has two sides equal and two angles equal then it is an isosceles triangle.
Triangle is divided into three categories based on the equality of side length.
- Scalene Triangle (All three sides are unequal)
- Isosceles Triangle (Only two sides are equal)
- Equilateral Triangle (All three sides are equal)
In this article, we will learn about the area of the isosceles triangle, its perimeters, properties, examples, and others in detail.
Table of Content
- What is an Isosceles Triangle?
- Isosceles Triangle Definition
- Examples of Isosceles Triangle
- Angles of Isosceles Triangle
- Properties of Isosceles Triangles
- Types of Isosceles Triangles
- Isosceles Triangle Theorem
- Base Angle Theorem
- Isosceles Triangle Theorem
- Isosceles Triangles Formulas
- Real Life Examples of Isosceles Triangles
- FAQs
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