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Nat 5 Maths: Easy Triangle Area Formulas and More!

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Hannah Murdoch

29/10/2022

Maths

Non-calculator Trig - National 5 Maths

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Maths

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Geometry and measure

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Angles, lines and polygons

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Triangles

Nat 5 Maths: Easy Triangle Area Formulas and More!

The document covers Nat 5 Maths trigonometry problems, focusing on calculating the area of triangles using various formulas and techniques. It includes examples of solving triangle problems using the sine rule, cosine rule, and area of triangle with 3 sides formula. The content is relevant for students preparing for Nat 5 Maths Past Papers and practicing non-calculator trigonometry questions.

Key points:

  • Use of sine rule for finding missing sides and angles
  • Calculating triangle areas using the formula A = ½ab sin C
  • Application of cosine rule in triangle problems
  • Practice questions similar to those found in Nat 5 Maths Past Papers
...

29/10/2022

184

16/9/20 1) calculate the B A 12 X A 10 A=Zab sinl A=²2x10x12x². = 60 x ²/3 = частв 2) In mangle ABC, AB = 12 cm, Find the length of side AC

View

Page 2: Advanced Triangle Problems and Cosine Rule

This page delves into more complex triangle problems, including proving trigonometric identities and calculating areas of triangles with given side lengths and angles. These problems are typical of those found in Nat 5 Maths Past Papers and require a solid understanding of trigonometry formulas.

Example: Prove that cos A = 1/8 in a triangle with sides 5, 4, and 6.

Highlight: The cosine rule is essential for solving problems where you know three sides of a triangle and need to find an angle.

The page also includes a problem where students must calculate the area of a triangle given two sides and the sine of an angle. This type of question tests students' ability to apply the area of triangle formulas in various contexts.

16/9/20 1) calculate the B A 12 X A 10 A=Zab sinl A=²2x10x12x². = 60 x ²/3 = частв 2) In mangle ABC, AB = 12 cm, Find the length of side AC

View

Page 3: Advanced Trigonometric Calculations

The final page covers more advanced trigonometric calculations, including proving trigonometric identities and solving for missing sides in triangles. These problems are excellent practice for students preparing for Nat 5 Maths Past Papers and help reinforce concepts from the Nat 5 formula sheet.

Example: Given that sin 30° = 0.5, show that sin A = 0.3 in a triangle with sides 4, 6, and 10.

Highlight: This problem demonstrates the application of the sine rule in a more complex scenario, requiring students to think critically about the relationships between angles and sides in a triangle.

The page concludes with a problem where students must calculate the length of a missing side in a triangle, given its area, one side length, and the sine of an angle. This type of question combines multiple concepts from the Nat 5 Maths curriculum, including area of triangle sine rule and basic trigonometric ratios.

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Subjects

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Maths

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Geometry and measure

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Angles, lines and polygons

/

Triangles

Nat 5 Maths: Easy Triangle Area Formulas and More!

user profile picture

Hannah Murdoch

@hannah_murdoch

·

365 Followers

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The document covers Nat 5 Maths trigonometry problems, focusing on calculating the area of triangles using various formulas and techniques. It includes examples of solving triangle problems using the sine rule, cosine rule, and area of triangle with 3 sides formula. The content is relevant for students preparing for Nat 5 Maths Past Papers and practicing non-calculator trigonometry questions.

Key points:

  • Use of sine rule for finding missing sides and angles
  • Calculating triangle areas using the formula A = ½ab sin C
  • Application of cosine rule in triangle problems
  • Practice questions similar to those found in Nat 5 Maths Past Papers
...

29/10/2022

184

 

S4

 

Maths

4

16/9/20 1) calculate the B A 12 X A 10 A=Zab sinl A=²2x10x12x². = 60 x ²/3 = частв 2) In mangle ABC, AB = 12 cm, Find the length of side AC

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Page 2: Advanced Triangle Problems and Cosine Rule

This page delves into more complex triangle problems, including proving trigonometric identities and calculating areas of triangles with given side lengths and angles. These problems are typical of those found in Nat 5 Maths Past Papers and require a solid understanding of trigonometry formulas.

Example: Prove that cos A = 1/8 in a triangle with sides 5, 4, and 6.

Highlight: The cosine rule is essential for solving problems where you know three sides of a triangle and need to find an angle.

The page also includes a problem where students must calculate the area of a triangle given two sides and the sine of an angle. This type of question tests students' ability to apply the area of triangle formulas in various contexts.

16/9/20 1) calculate the B A 12 X A 10 A=Zab sinl A=²2x10x12x². = 60 x ²/3 = частв 2) In mangle ABC, AB = 12 cm, Find the length of side AC

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 3: Advanced Trigonometric Calculations

The final page covers more advanced trigonometric calculations, including proving trigonometric identities and solving for missing sides in triangles. These problems are excellent practice for students preparing for Nat 5 Maths Past Papers and help reinforce concepts from the Nat 5 formula sheet.

Example: Given that sin 30° = 0.5, show that sin A = 0.3 in a triangle with sides 4, 6, and 10.

Highlight: This problem demonstrates the application of the sine rule in a more complex scenario, requiring students to think critically about the relationships between angles and sides in a triangle.

The page concludes with a problem where students must calculate the length of a missing side in a triangle, given its area, one side length, and the sine of an angle. This type of question combines multiple concepts from the Nat 5 Maths curriculum, including area of triangle sine rule and basic trigonometric ratios.

16/9/20 1) calculate the B A 12 X A 10 A=Zab sinl A=²2x10x12x². = 60 x ²/3 = частв 2) In mangle ABC, AB = 12 cm, Find the length of side AC

Sign up to see the content. It's free!

Access to all documents

Improve your grades

Join milions of students

By signing up you accept Terms of Service and Privacy Policy

Page 1: Non-Calculator Trigonometry Problems

This page introduces non-calculator trigonometry problems for Nat 5 Maths. It covers calculating the area of a triangle and finding missing sides using the sine rule. The problems demonstrate practical applications of formulas found in the Nat 5 Maths formula sheet.

Example: Calculate the area of triangle ABC where a=12, b=10, and sin C = √3/2.

Highlight: The formula A = ½ab sin C is crucial for solving area problems without a calculator.

Vocabulary: Sine rule - A formula used to find unknown sides or angles in a triangle when you know one side and two angles, or two sides and one angle opposite one of them.

The page also includes a problem where students must find the length of a missing side using the sine rule. This type of question is common in Nat 5 Maths Past Papers and helps students practice Sin cos formulas non calculator national 5 maths.

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Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

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Knowunity is the #1 education app in five European countries

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In education app charts in 17 countries

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Still not convinced? See what other students are saying...

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Philip, iOS User

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Lena, iOS user

I love this app ❤️ I actually use it every time I study.