Right Triangles

This course primarily focuses on the practical aspect of Right Triangles. The course majorly focuses on the concept of the Pythagorean Theorem, confunctions definition and examples, mean proportional with examples, congruence of right triangles. It includes the sum related to the right angled triangles whoe angles are 30, 60, 90 and 45, 45, 90. The course gives a brief idea about Building a right angle and the relationship of the Trigonometric Ratios with the angles A and B. The course concludes by describing the Inverse Trigonometric Ratios, word problems related to right triangles, method of Finding angles of a triangle using inverse trigonometric ratio.

12 topics

101 lectures

Educators

Course Curriculum

17 videos

Parallel and Perpendicular lines

14 videos

Deductive Reasoning

1 videos

Non Rigid Transformations (Dilations)

2 videos

6 videos

Geometry Basics

3 videos

Properties of Quadrilaterals

5 videos

Right Triangles

13 videos

Rigid Motions (Isometries)

6 videos

10 videos

5 videos

Relationships Within Triangles

19 videos

Right Triangles Lectures

Right Triangles

30-60-90 Practice Problems

In mathematics, the natural numbers are used to count (or enumerate) objects, such as the objects in a collection or set. These have been defined by the Peano axioms. Natural numbers can be used to count objects (e.g. number of students in a class), to measure lengths (e.g. number of meters in a yard), or to measure rates (e.g. number of miles per hour). The first three numbers (1, 2, and 3) are the first three counting numbers.

Kurt Kleinberg

Right Triangles

30-60-90 Right Triangles

In mathematics, the natural numbers are used to count (or enumerate) objects, such as the objects in a collection or set. These have been defined by the Peano axioms. Natural numbers can be used to count objects (e.g. number of students in a class), to measure lengths (e.g. number of meters in a yard), or to measure rates (e.g. number of miles per hour). The first three numbers (1, 2, and 3) are the first three counting numbers.

Kurt Kleinberg

Right Triangles

45-45-90 Right Triangle Practice

In mathematics, the number 45 (forty-five) is a natural number that follows 44 and precedes 46.

Kurt Kleinberg

Right Triangles

45-45-90 Right Triangles

In mathematics, the number 45 (forty-five) is a natural number that follows 44 and precedes 46.

Kurt Kleinberg

Right Triangles

Cofunctions definitions and examples

In mathematics, a cofunction is a function that is the inverse of another function. For example, the sine and cosine functions are cofunctions of each other, as are the logarithm and exponential functions.

Kurt Kleinberg

Right Triangles

Mean Proportional Examples

In mathematics, the mean proportional is a geometric mean, and is the number which is the arithmetic mean of the reciprocals of the members of a set of numbers.

Kurt Kleinberg

Right Triangles

Mean Proportional Theorems

In mathematics, the mean proportional theorems are a pair of theorems that relate the arithmetic and geometric means of two (or more) numbers. They were first discovered by Nicomachus in the 2nd century AD.

Kurt Kleinberg

Right Triangles

Pythagorean Examples

In mathematics, a Pythagorean triple consists of three positive integers "a", "b", and "c" such that "a" + "b" = "c" and "a" ? "b" (mod "c"), i.e., "a", "b", and "c" are mutually Pythagorean. The term "Pythagorean triple" is also used to refer to the set of all such triples with a given integer value of "c".

Kurt Kleinberg

Right Triangles

Pythagorean Theorom

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation": a^2+b^2+c^2. where c represents the length of the hypotenuse and a and b represent the lengths of the triangle's other two sides.

Kurt Kleinberg

Right Triangles

Right Triangle Congruence and Examples

In mathematics, the term congruence refers to the relationship between two objects, or sets of objects, when one of the objects is said to be "similar to" or "congruent to" the other. This relationship is denoted x ~ y, and the notation is read "x is congruent to y".

Kurt Kleinberg

Right Triangles

Trig Ratio Basics

In geometry, the trigonometric functions are functions of an angle. They relate the angles of a triangle to the lengths of its sides. The three main trigonometric functions are the sine (sin), cosine (cos), and tangent (tan). The ratios of the sides are functions of the angles, and they are known as the sine ratio, cosine ratio, and tangent ratio. The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Kurt Kleinberg

Right Triangles

Trig Word Problems and Applications

In mathematics, trigonometry, also called triangulation, is a branch of mathematics concerning the relationships between the sides and the angles of triangles. Trigonometry is used in the measurement and description of the shapes of objects, such as the positions of stars and the sizes of galaxies, as well as in navigation, engineering, and physics. Trigonometry is also the foundation of surveying. Trigonometry is most simply associated with planar right-angle triangles. The word "trigonometry" comes from the Greek words "trig?non" (????????, "triangle") and "metron" (??????, "measure").

Kurt Kleinberg

Right Triangles

Using Trig to Solve Triangles

Trigonometry (from Greek trigonon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Trigonometry is also the foundation of surveying.

Kurt Kleinberg