Grade 10-11 · Geometry · 74 pages · PDF

Triangles

Clear, exam-focused notes on types of triangles, angle properties, area, Pythagoras and the triangle inequality, with fully worked examples.

A concise 16-page IGCSE guide to triangles. It covers classifying triangles by their sides and by their angles, the properties of isosceles triangles, the angle sum (including algebraic angle problems) and the exterior angle theorem. It then teaches the area of a triangle using base and height, with Heron’s formula as an extension. It also covers Pythagoras’ theorem and its converse for testing whether a triangle is acute, right-angled or obtuse, and the triangle inequality. Every method comes with clear diagrams and step-by-step worked examples. It ends with a summary, a keyword guide and exam tips.

What's in the pack

Every item can be bought on its own. Buy several together and the price drops.

• Solutions · 26 pages

  Solutions

  Every worksheet question worked in full.

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• Main Notes · 17 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

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• Cheatsheet · 1 page

  Cheatsheet

  The whole topic on a page or two, for the night before.

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• Worksheet · 30 pages

  Worksheet

  Practice questions in the order the notes teach them.

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Topics covered

• Labelling triangles
• Equilateral, isosceles and scalene triangles
• Acute, right-angled and obtuse triangles
• Properties of isosceles triangles
• Angle sum of a triangle
• Algebraic angle problems
• Exterior angle theorem
• Area using base and height
• Heron’s formula (extension)
• Pythagoras’ theorem and Pythagorean triples
• Testing for acute, right-angled or obtuse
• Triangle inequality

Format

Print-ready PDF

Items

4

Delivery

By email