Right Angled Triangles

Lee W Fisher, Ronan Downes, Mar 15, 2020

Practice Pythagoras and Trigonometry.

Table of Contents

  1. Theory and Estimation
    1. Right angled triangle in a circle
    2. Estimate sides and angles on 5 right angled triangles
    3. Estimate Side and Angles of Right Angled Triangles
    4. Proof of Pythagoras
    5. Sine, Cosine, Tangent 0 - 90°
    6. Sine Cosine Tangent Order to 90
  2. Practice
    1. Pythagoras' Practice
    2. Trig on Right Triangles Using Enlargment
    3. SOH CAH TOA for angles
    4. SOH CAH TOA for sides
    5. Practice Right Angled Triangles
  3. Test Out
    1. Right Angled Triangle Quiz
    2. Right Angled Triangles Accuracy Quiz
    3. Equations & Identities 方程與恆等式

1.

Theory and Estimation

  • 1. Right angled triangle in a circle
  • 2. Estimate sides and angles on 5 right angled triangles
  • 3. Estimate Side and Angles of Right Angled Triangles
  • 4. Proof of Pythagoras
  • 5. Sine, Cosine, Tangent 0 - 90°
  • 6. Sine Cosine Tangent Order to 90

1.1.

Right angled triangle in a circle

Right click to delete the triangle shown.[br][br]Use the polygon tool to draw your own right angled triangle.[br][br]Use the angle tool to click on two sides (counterclockwise) to test for 90 degrees.[br][br]Create a right angled triangle pattern!
– Lee W Fisher

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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2.

Practice

  • 1. Pythagoras' Practice
  • 2. Trig on Right Triangles Using Enlargment
  • 3. SOH CAH TOA for angles
  • 4. SOH CAH TOA for sides
  • 5. Practice Right Angled Triangles

2.1.

Pythagoras' Practice

Practice using the Pythagorean Theorem. [br][br]In the first applet, sides are labelled a, b, c.[br][br]In the second applet, the unknown side is labelled 'x' regardless of position.
Pythagoras' Theorem[url=https://tentotwelvemath.com/fmp-10/2-trigonometry/pythagoras-theorem/][br]https://tentotwelvemath.com/fmp-10/2-trigonometry/pythagoras-theorem/[br][br][/url]quiz applet:[br][url=https://www.geogebra.org/m/kaceqqh3]https://www.geogebra.org/m/kaceqqh3[/url][br][br]other quizzes:[br][url=https://tentotwelvemath.com/interactive/interactive-math-quizzes/]https://tentotwelvemath.com/interactive/interactive-math-quizzes/[/url]
– Lee W Fisher

2.2.

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2.3.

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2.4.

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2.5.

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3.

Test Out

  • 1. Right Angled Triangle Quiz
  • 2. Right Angled Triangles Accuracy Quiz
  • 3. Equations & Identities 方程與恆等式

3.1.

Right Angled Triangle Quiz

Choose the number of questions to answer.[br][br]Take care to not erase the degree symbol from the angle answer box. If you do, copy and paste ° from here.
– Lee W Fisher

3.2.

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Information