Maths Resources GCSE Worksheets

# Constructing triangles worksheet

• Section 1 of the constructing triangles worksheet contains 36 skills-based constructing triangles questions, in 3 groups to support differentiation
• Section 2 contains 4 applied constructing triangles questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 4 foundation and higher level GCSE exam style constructing triangles questions
• Answers and a mark scheme for all constructing triangles questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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### Constructing triangles at a glance

Sometimes we need to construct accurate drawings of triangles. This can be done given certain information, using a ruler, protractor and a pair of compasses.

The information that we are given for triangle construction will vary depending on the situation. For example we might be told the length of each side (SSS), the size of two angles and the length of the straight line between them (ASA) or facts such as that the triangle is an isosceles triangle, equilateral triangle or right angle triangle.  The method and equipment that we use will depend on which measurements we are given.

As an example, let’s think about how to construct triangle ABC, where AB=10cm, BC=8cm and angle ABC=60o. We can first draw one side, AB which is 10cm long. Next we can measure the angle ABC using a protractor. Once we have the correct angle, we can measure the length of BC as 8cm. Finally, we can draw the third side of the triangle so that it joins the other two sides.

Looking forward, students can then progress to additional geometry worksheets, for example a congruent triangles worksheet

For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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