![]() ![]() Theorem 6.7 - If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and to each otherĬlick on a link below to start doing the chapter.Ratios of areas of two similar triangles is equal to square of ratio of their corresponding sides - with Proof (Theorem 6.6).2 sides in proportion, and 1 angle between them equal - with Proof (Theorem 6.5) SAS (Side Angle Side) Similarity, i.e.all 3 sides in proportion, with Proof (Theorem 6.4) all 3 angles equal, with Proof (Theorem 6.3) AAA (Angle Angle Angle) Similarity i.e.Inverse of Basic Proportionality Theorem - with Proof (Theorem 6.2) Proof of Euclid’s SAS (side angle side) Theorem of Congruence of Triangles via the Cross Section of a Double Cone.This is because interior angles of triangles add to 180°. This forces the remaining angle on our CAT to be: 180°-angle C-angle A 180° C A. The two triangles have two angles congruent (equal) and the included side between those angles congruent. ![]() Basic Proportionality Theorem (BPT) - with Proof (Theorem 6.1) It is equal in length to the included side between B and U on BUG.Difference between Congruency and Similarity.We have studied Congruency of Triangles in Class 9. Solutions to all NCERT Exercise Questions, Examples, Theorems, Optional Exercises are available with Videos of each and every question. There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL. Get NCERT Solutions of Chapter 6 Class 10 Triangles free at teachoo.
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