Simple Methods to Prove that a Particular Triangle is Isosceles Understanding the concept of an Isosceles Triangle is important because, in order to pursue their career in the engineering field of studies, the students need to find out the values of unknown angles and they should be very good at determining the shapes and lengths of various objects. They may have to solve questions regarding this particular chapter in order to qualify for various other entrance Examinations and engineering Examinations. The foundational knowledge of Geometry will be particularly helpful for those students who want to pursue their academics or want to undertake research projects in the field of Mathematics. If the students want to score good marks in Mathematics then they should understand the concept of every chapter that is included in the syllabus. Questions from each of the topics of Geometry should be included in the question papers. The concept of an Isosceles Triangle is included in the syllabus of the students so that they can develop their idea of angles and the lengths of a Triangle. The students should know the basic and foundational concepts of Geometry. Purpose of Learning the Concepts of Isosceles Triangles According to this theorem, the angles that will be opposite to the sides of the Triangle that are equal in length will also be equal. There are also some other theorems that consider another feature to be equally important in order to identify a particular Triangle as an Isosceles Triangle. Apart from these two, there will be the base of the Triangle that is not equal to the length of the two sides. One of the main characteristics of an Isosceles Triangle is that the two legs of the Triangle must be equal in length. But to identify a Triangle as an Isosceles Triangle it has to have some definite characteristics. Using the Pythagorean theorem, we have the following result.
Let us consider an Isosceles Triangle as shown in the following diagram (whose sides are known, say a, a and b).Īs the altitude of an Isosceles Triangle drawn from its vertical angle is also its angle bisector and the median to the base (which can be proved using congruence of Triangles), we have two right Triangles as shown in the figure above.
By this definition, an equilateral Triangle is also an Isosceles Triangle. An Isosceles Triangle is one in which two sides are equal in length.
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