{"ok":true,"q":"Pythagorean Theorem","n":13,"results":[{"id":"class_09\/mathematics\/chapter_07_triangles","title":"Chapter 7 — Triangles","class_num":9,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter 'Triangles' (Class 9, NCERT) introduces triangles, their types and basic elements, and develops students' understanding of triangle congruence, key properties and inequalit","topic":"","anchor":"sec-practice"},{"id":"class_10\/mathematics\/chapter_07_coordinate_geometry","title":"Chapter 7 — Coordinate Geometry","class_num":10,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces Coordinate Geometry (Cartesian system) for Class 10 students and develops analytic methods to study geometric figures on a plane using algebra. It begins wi","topic":"","anchor":"sec-practice"},{"id":"class_10\/mathematics\/chapter_08_introduction_to_trigonometry","title":"Chapter 8 — Introduction To Trigonometry","class_num":10,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter 'Introduction to Trigonometry' (NCERT Class 10 Mathematics) introduces trigonometric ratios for acute angles using right-angled triangles and triangle similarity. It define","topic":"Pythagorean Identities","anchor":"topic-6"},{"id":"class_09\/mathematics\/chapter_03_coordinate_geometry","title":"Chapter 3 — Coordinate Geometry","class_num":9,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces the Cartesian (coordinate) plane and the language of coordinate geometry. Students learn how two perpendicular number lines (x-axis and y-axis) form a plane","topic":"","anchor":""},{"id":"class_10\/mathematics\/chapter_06_triangles","title":"Chapter 6 — Triangles","class_num":10,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter: Triangles (Class 10 Mathematics, NCERT). This chapter introduces the idea of similarity in geometry and develops tools to compare shapes that have the same form but differ","topic":"Applications and typical problem types","anchor":"topic-8"},{"id":"class_10\/mathematics\/chapter_09_some_applications_of_trigonometry","title":"Chapter 9 — Some Applications Of Trigonometry","class_num":10,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter: Some Applications of Trigonometry (NCERT Class 10) — Introduction, importance, key themes, and learning outcomes. This chapter develops the practical side of right-triangl","topic":"","anchor":""},{"id":"class_10\/mathematics\/chapter_13_surface_areas_and_volumes","title":"Chapter 13 — Surface Areas And Volumes","class_num":10,"subject":"mathematics","subject_label":"Mathematics","summary":"Introduction: Chapter \"Surface Areas and Volumes\" (Class 10, NCERT Mathematics) studies geometric solids — mainly cubes\/cuboids (revision), cylinders, cones, spheres and hemisphere","topic":"","anchor":""},{"id":"class_08\/mathematics\/chapter_06_squares_and_square_roots","title":"Chapter 6 — Squares And Square Roots","class_num":8,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces squares and square roots, fundamental concepts of number theory and arithmetic used throughout mathematics. A square of a number is the product of the numbe","topic":"Introduction to Square Roots","anchor":"topic-7"},{"id":"class_11\/mathematics\/chapter_12_introduction_to_three_dimensional_geometry","title":"Chapter 12 — Introduction To Three Dimensional Geometry","class_num":11,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces three-dimensional (3D) coordinate geometry by extending the familiar two-dimensional Cartesian system to space. Students learn to represent points by ordere","topic":"Distance between two points","anchor":"topic-2"},{"id":"class_07\/mathematics\/chapter_10_practical_geometry","title":"Chapter 10 — Practical Geometry","class_num":7,"subject":"mathematics","subject_label":"Mathematics","summary":"Introduction: Practical Geometry (Class 7) introduces classical straightedge-and-compass constructions. The chapter trains students to make accurate geometric figures using basic i","topic":"Construction of Right-Angled Triangles","anchor":"topic-6"}]}