Related ArticlesĬheck these articles related to the concept of the isosceles triangle theorem.įAQs on Isosceles Triangle Theorem What is Isosceles Triangle Theorem? Hence we have proved that, if two angles of a triangle are congruent, then the sides opposite to the congruent angles are equal. Proof: We know that the altitude of a triangle is always at a right angle with the side on which it is dropped. Let's draw a triangle with two congruent angles as shown in the figure below with the markings as indicated. Converse of Isosceles Triangle Theorem Proof We will be using the properties of the isosceles triangle to prove the converse as discussed below. This is exactly the reverse of the theorem we discussed above. The converse of isosceles triangle theorem states that if two angles of a triangle are congruent, then the sides opposite to the congruent angles are equal. Hence, we have proved that if two sides of a triangle are congruent, then the angles opposite to the congruent sides are equal. Proof: We know, that the altitude of an isosceles triangle from the vertex is the perpendicular bisector of the third side. Given: ∆ABC is an isosceles triangle with AB = AC.Ĭonstruction: Altitude AD from vertex A to the side BC. Let's draw an isosceles triangle with two equal sides as shown in the figure below. To understand the isosceles triangle theorem, we will be using the properties of an isosceles triangle for the proof as discussed below. 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 theorem states that if two sides of a triangle are congruent, then the angles opposite to the congruent sides are also congruent. 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
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