Geometry Beginner Level 1
Geometry Level2
Geometry is an essential branch of mathematics, which makes it important for any student to have a detailed, well-rounded knowledge of trigonometry that covers a variety of topics. Geometry is the fourth math course in high school and will guide you through among other things points, lines, planes, angles, parallel lines, triangles, similarity, trigonometry, quadrilaterals, transformations, circles and area. This Geometry math course is divided into 10 chapters and each chapter is divided into several lessons. Under each lesson you will find theory, examples and video lessons. Talent Academy hopes that you will enjoy studying Geometry online with us!
Sample of some problem with their solution from this courses.
Pro :- Two angles of a triangle measure 30 and 45 degrees. If the side of the triangle opposite the 30-degree angle measures 6√ 2 units, what is the sum of the lengths of the two remaining sides?
Sol ;- Given that two angles of a triangle measure 30 and 45 degrees with side of the triangle opposite the 30-degree angle measures 6√ 2 units, draw a perpendicular line from point B to point D which creates a two right angle triangles. Consider right angle triangle BCD , whose angles at D and B is 90 and 45 respectively. let angle at C be "S", the sum of angles of a triangle is 180, therefore the sum of triangles in triangle BCD is, S+ 45 + 90 =180; S= 45. Triangle BCD is a isosceles right angle triangle, the hypogenous is given as BC = 6$\sqrt{2}$, let CD and DB be length "X" respectively, using Pythagoras theorem we get , CD^2 + BD^2 = BC^2; X^2 +X^2 = (6$\sqrt{2}$)^2; we get X = 6. Now consider right angle triangle ADC , whose angles at D and A is 90 and 30 respectively. let angle at C be "Z", the sum of angles of a triangle is 180, therefore the sum of triangles in triangle ADC is, Z + 30 + 90 =180; Z = 60. Triangle ADC is a right angle triangle, from the previous step we know that length of CD is 6 , extend CD and A till they meet at point P of angle 60, we a equilateral triangle. We see CD + DP = CP = 12, therefore sides of CA and AP are length of 12. Let AD be Q , using Pythagoras theorem in triangle ADC we get , CD^2 + Q^2 = AC^2; 6^2 +Q^2 = (12)^2; we get Q = 6$\sqrt{3}$, therefore the sum of the sides of the triangle ABC is, AB + BC + CA = 18+6*√ 3
Que :- A cylindrical jar with height 8 inches and diameter 6 inches is filled to 75% of its capacity with juice. The juice is then poured into another cylindrical container with a 10 inch diameter and height of 4 inches. To what percent of its capacity is the second jar filled with juice? (Mathcouns Competitions).
Ans ;54 (percent)
From architecture to engineering, trigonometry is widely used in several common careers. Gaining an understanding of trigonometry opens a wide range of doors in the field of mathematics for students interested in continuing their study.
Talent academy makes sure to cover all concepts and has divided the courses based on students interest, students can enroll to the necessary schedule.
Angles and triangles
Rolling Circle
Angles and Arcs
Classification of Triangles
Similar Triangles
Pythagorean Theorem
Quadrilaterals
Trapezoids
Parallelogram
Angle Bisectors and Medians
Triangular Inequality
Area Method
Polygons
Clock Angles
Circles
Coordinate System
Lines and Equations
Volume
Angle Basics
Angles in a Polygons
Length and Perimeter
Area
Special Right Triangles
Mini Geometry: Circles and triangles
Mini Analytic Geometry
Mini Geometry: Area and Volume
Mini Geometry: Similar triangles
Mini Geometry: Three Dimensional Figures
Angle Chasing
Circles
Counting
Functional Equations
Functions and Representations
Mass Point
Mathematical Principles
Modular Arithmetic
Number Sense
Polynomials
Probability and Statistics
Sequences and Series
Three-Dimensional Geometry
Triangles and Polygons
Word Problems