![]() The area of an isosceles triangle A = ½ × b × h Square units, where ‘b’ is the base and ‘h’ is the height of the isosceles triangle.Īs we know the two sides are equal in this triangle, and the unequal side is called the base of the triangle. Formula to calculate the area of an isosceles triangle is given below: Generally, the isosceles triangle is half the product of the base and height of an isosceles triangle. The perimeter of an isosceles triangle formula, P = 2a + b units where ‘a’ is the length of the two equal sides of an isosceles triangle and ‘b’ is the base of the triangle.įormula to Find the Area of Isosceles Triangle The area of an isosceles triangle is defined as the region occupied by it in the two-dimensional space. The formula of isosceles triangle perimeter is given by: The perimeter of an isosceles triangle can be found if we know its base and side. In a similar way, the perimeter of an isosceles triangle is defined as the sum of the three sides of an isosceles triangle. (Image will be uploaded soon) The perimeter of the Isosceles TriangleĪs we know the perimeter of any shape is given by the boundary of the shape. The theorem that describes the isosceles triangle is “if the two sides of a triangle are congruent, then the angle opposite to these sides are congruent”. ![]() In the diagram, triangle ABC here sides AB and AC are equal and also ∠B = ∠C. The area of an isosceles triangle can be calculated using the length of its sides. The angles opposite to these equal sides are also equal. Know About Isosceles Triangle Perimeter FormulaĪ triangle is called an isosceles triangle if it has any two sides equal. We suggest that when you take a look at the objects around you and look at the symmetry of a triangle, try to associate the knowledge that you learn from this article with your everyday life. They are all around us and need a good observation to be understood. Triangles can be found everywhere, and another thing that can be found everywhere are the patterns associated with them. They not only have a lot of patterns and interesting formulas that you can get a lot of knowledge from but they are also super fun to study. Also, reach out to the test series available to examine your knowledge regarding several exams.Triangles are some of the most interesting shapes that you can ever get a chance to study. Stay tuned to the Testbook App for more updates on related topics from Mathematics, and various such subjects. We hope that the above article is helpful for your understanding and exam preparations. Let us suppose that the two equal sides of the isosceles triangle are ‘x’ and ‘x’ and the hypotenuse is denoted by ‘h’. We can also use the pythagorean theorem here to find the length of the unequal side. The unequal side in an isosceles right triangle is called the hypotenuse of the triangle. In an isosceles right triangle one of the two equal sides is a perpendicular and other is the base that forms an angle equal to 90 with the each other. An isosceles triangle is termed as an acute isosceles triangle if it has the angles opposite to the equal legs as equal and less than 90-degrees (acute angles). We know that a triangle has three different dimensions, that is, its legs, base and height and an isosceles triangle has its axis of symmetry along the perpendicular bisector of the base. Let us learn about these in detail: Isosceles Acute Triangle Types of Isosceles TriangleĪn isosceles triangle can be subdivided into three different types, these are: That means angle ODC = angle OCD.Īlternatively, we can say that in an isosceles triangle, if two angles are equal, the sides opposite to the equal angles are equal. Here, triangle OCD is an isosceles triangle with sides OD = OC and also it has angles opposite to the equal sides as equal. It does not matter what measure of the rectangle you have taken, you will always get an isosceles triangle by following the above procedure. Upon measuring the lengths of the sides, you will see that OD = OC. Open the sheet now, and you will see a triangle is formed. Connect the top folded corner with the bottom edge by drawing a line. For this you have to take a rectangular sheet and fold it into half. We can also say that an isosceles triangle is a triangle with two congruent sides. ![]() Isosceles TriangleĪs we have read above, an isosceles triangle is a triangle which has two sides equal, we should know that it has two angles opposite to the equal sides as equal. We shall also check some solved examples for better understanding of the concept. In this article, we will learn about isosceles triangles, its properties and types and also some of the theorems based on isosceles triangles.
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