Triangle problems | Spherical trigonometry | Trigonometry

Solution of triangles

Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known. The triangle can be located on a plane or on a sphere. Applications requiring triangle solutions include geodesy, astronomy, construction, and navigation. (Wikipedia).

Solution of triangles
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Solving two triangles are similar using SSS

👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side

From playlist Similar Triangles

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How to use proportionality of a triangle to determine if two lines are parallel

👉 Learn how to solve for the unknown in a triangle divided internally such that the division is parallel to one of the sides of the triangle. The triangle proportionality theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divi

From playlist Similar Triangles within Triangles Solve for x

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What is the solution to the system of equations

👉Learn about solving a system of equations by graphing. A system of equations is a set of more than one equations which are to be solved simultaneously. To solve a system of equations graphically, we graph the individual equations making up the system. The point of intersection of the gr

From playlist Solve a System of Equations by Graphing | Learn About

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How to apply the triangle proportionality theorem to determine the missing side

👉 Learn how to solve for the unknown in a triangle divided internally such that the division is parallel to one of the sides of the triangle. The triangle proportionality theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divi

From playlist Similar Triangles within Triangles Solve for x

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Using the midsegment to determine your missing values of a triangle

👉 Learn how to solve for the unknown in a triangle divided internally such that the division is parallel to one of the sides of the triangle. The triangle proportionality theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divi

From playlist Similar Triangles within Triangles Solve for x

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Determine the missing angles using complementary and triangle angle sum

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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Apply a Pythagorean triple to solve for the missing side of a triangle ex 1

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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How to use the altitude of similar triangles to find the missing length

👉 Learn how to solve with similar triangles. Two triangles are said to be similar if the corresponding angles are congruent (equal). Note that two triangles are similar does not imply that the length of the sides are equal but the sides are proportional. Knowledge of the length of the side

From playlist Similar Triangles

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What is the triangle proportionality theorem

👉 Learn how to solve for the unknown in a triangle divided internally such that the division is parallel to one of the sides of the triangle. The triangle proportionality theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divi

From playlist Similar Triangles within Triangles Solve for x

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Jeanette Skakalli - Toothpick Puzzles - CoM Oct 2020

Martin Gardner loved all kinds of mathematical puzzles. In this interactive presentation that is accessible for kids and adults alike, we will explore some fun puzzles that involve toothpicks. Come join us to discover the beauty and richness of mathematics while we immerse ourselves in the

From playlist Celebration of Mind

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Joel Hass - Lecture 2 - Algorithms and complexity in the theory of knots and manifolds - 19/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Joel Hass (University of California at Davis, USA) Algorithms and complexity in the theory of knots and manifolds Abstract: These lectures will introduce algorithmic pro

From playlist Joel Hass - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

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Mathematical Games Hosted by Ed Pegg Jr. [Episode 3: Algebraic Number Magic]

Join Ed Pegg Jr. as he explores a variety of games and puzzles using Wolfram Language. In this episode, he features games and puzzles focusing on algebraic number magic. Follow us on our official social media channels. Twitter: https://twitter.com/WolframResearch/ Facebook: https://www.f

From playlist Mathematical Games Hosted by Ed Pegg Jr.

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Law of Sines, Basic Introduction, AAS & SSA - One Solution, Two Solutions vs No Solution, Trigonomet

This trigonometry video tutorial provides a basic introduction into the law of sines. It explains how to find the value of the missing side of a triangle or the missing angle. it explains how to solve AAS and SSA triangles using the law of sines formula. It helps you to tell if the tria

From playlist New Precalculus Video Playlist

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The Law of Sines - Two Solutions (SSA)

This video use the Law of Sines to solve a triangle when there is 2 solutions from the given information. http://mathispower4u.com

From playlist Solving Triangles Using the Law of Sines and Law of Cosines

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The Law of Sines: The Ambiguous Case

This video explains how to solve a triangle using the law of sines when given SSA. Search all videos at http://mathispower4u.wordpress.com/

From playlist Solving Triangles Using the Law of Sines and Law of Cosines

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Minimal Cycle Representatives from Persistent Homology [Lu Li]

In this video, I'll give a brief introduction to minimal cycle representatives from persistent homology. In particular, I'll present four algorithms for finding minimal cycle representatives via linear programming: uniform-weighted edge-loss methods, length-weighted edge-loss methods, unif

From playlist Tutorial-a-thon 2021 Fall

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Generalized Bisection Method for Systems of Nonlinear Equations

Generalization of the Bisection Method for solving systems of equations. This lesson explains the algorithm for a 2 dimension example based on Harvey-Stenger's approach using bisecting triangles. It includes a visualization of the method in action on an example nonlinear system. Other meth

From playlist Solving Systems of Nonlinear Equations

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Label the parts of a triangle ex 1

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

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Nelder-Mead Downhill Simplex Method (2 dimensions) + A numerical Example

This video is about Nelder-Mead Downhill Simplex Method (2 dimensions) + A numerical Example

From playlist Optimization

Related pages

Congruence (geometry) | Euclidean geometry | Right triangle | Hansen's problem | Great-circle navigation | Trigonometry | Straightedge and compass construction | Law of cotangents | Half-side formula | Median (geometry) | Spherical geometry | Snellius–Pothenot problem | Sum of angles of a triangle | Mollweide's formula | Law of cosines | Altitude (triangle) | Central angle | Sphere | Law of tangents | Similarity (geometry) | Lénárt sphere | Law of sines | Spherical trigonometry | Spherical law of cosines | Triangle | Plane (geometry)