![]() The angle included by the legs is called the vertex angle and the angles that have the base as one of their sides are called the base angles. ![]() In an isosceles triangle that has exactly two equal sides, the equal sides are called legs and the third side is called the base. The same word is used, for instance, for isosceles trapezoids, trapezoids with two equal sides, and for isosceles sets, sets of points every three of which form an isosceles triangle. "Isosceles" is made from the Greek roots "isos" (equal) and "skelos" (leg). A triangle that is not isosceles (having three unequal sides) is called scalene. The difference between these two definitions is that the modern version makes equilateral triangles (with three equal sides) a special case of isosceles triangles. Terminology, classification, and examples Įuclid defined an isosceles triangle as a triangle with exactly two equal sides, but modern treatments prefer to define isosceles triangles as having at least two equal sides. ![]() The two angles opposite the legs are equal and are always acute, so the classification of the triangle as acute, right, or obtuse depends only on the angle between its two legs. The other dimensions of the triangle, such as its height, area, and perimeter, can be calculated by simple formulas from the lengths of the legs and base.Įvery isosceles triangle has an axis of symmetry along the perpendicular bisector of its base. The two equal sides are called the legs and the third side is called the base of the triangle. Isosceles triangles have been used as decoration from even earlier times, and appear frequently in architecture and design, for instance in the pediments and gables of buildings. The mathematical study of isosceles triangles dates back to ancient Egyptian mathematics and Babylonian mathematics. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.Įxamples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces of bipyramids and certain Catalan solids. In geometry, an isosceles triangle ( / aɪ ˈ s ɒ s ə l iː z/) is a triangle that has two sides of equal length. Get the free view of Chapter 10, Isosceles Triangles Concise Mathematics Class 9 ICSE additional questions for Mathematics Concise Mathematics Class 9 ICSE CISCE,Īnd you can use to keep it handy for your exam preparation.Isosceles triangle with vertical axis of symmetry Maximum CISCE Concise Mathematics Class 9 ICSE students prefer Selina Textbook Solutions to score more in exams. The questions involved in Selina Solutions are essential questions that can be asked in the final exam. ![]() Using Selina Concise Mathematics Class 9 ICSE solutions Isosceles Triangles exercise by students is an easy way to prepare for the exams, as they involve solutionsĪrranged chapter-wise and also page-wise. Selina textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.Ĭoncepts covered in Concise Mathematics Class 9 ICSE chapter 10 Isosceles Triangles are Isosceles Triangles, Isosceles Triangles Theorem, Converse of Isosceles Triangle Theorem. This will clear students' doubts about questions and improve their application skills while preparing for board exams.įurther, we at provide such solutions so students can prepare for written exams. Selina solutions for Mathematics Concise Mathematics Class 9 ICSE CISCE 10 (Isosceles Triangles) include all questions with answers and detailed explanations. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. has the CISCE Mathematics Concise Mathematics Class 9 ICSE CISCE solutions in a manner that help students Chapter 1: Rational and Irrational Numbers Chapter 2: Compound Interest (Without using formula) Chapter 3: Compound Interest (Using Formula) Chapter 4: Expansions (Including Substitution) Chapter 5: Factorisation Chapter 6: Simultaneous (Linear) Equations (Including Problems) Chapter 7: Indices (Exponents) Chapter 8: Logarithms Chapter 9: Triangles Chapter 10: Isosceles Triangles Chapter 11: Inequalities Chapter 12: Mid-point and Its Converse Chapter 13: Pythagoras Theorem Chapter 14: Rectilinear Figures Chapter 15: Construction of Polygons (Using ruler and compass only) Chapter 16: Area Theorems Chapter 17: Circle Chapter 18: Statistics Chapter 19: Mean and Median (For Ungrouped Data Only) Chapter 20: Area and Perimeter of Plane Figures Chapter 21: Solids Chapter 22: Trigonometrical Ratios Chapter 23: Trigonometrical Ratios of Standard Angles Chapter 24: Solution of Right Triangles Chapter 25: Complementary Angles Chapter 26: Co-ordinate Geometry Chapter 27: Graphical Solution (Solution of Simultaneous Linear Equations, Graphically) Chapter 28: Distance Formula ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |