Also, reach out to the test series available to examine your knowledge regarding several exams. Stay tuned to the Testbook App for more updates on related topics from Mathematics, and various such subjects. This property is special for Isosceles Trapezium 1 + 4 180 degree 3 + 2 180 degree (03) In Isosceles Trapezium, the diagonals are equal to each other ABCD is an Isosceles Trapezium in which AC & BD are diagonals. 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). If two sides of a triangle are congruent, then the angles opposite to these sides are congruent. 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 In an equilateral triangle where all sides are equal. Types of Isosceles TriangleĪn isosceles triangle can be subdivided into three different types, these are: In an isosceles triangle where two sides are equal, the angles opposite to the equal sides are equal. 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. Properties of Equilateral Triangles An equilateral triangle has three congruent sides. 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. An isosceles right triangle has the characteristic of both the isosceles and the right triangles. 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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