GCSE Maths Practice: loci-and-constructions

Question 5 of 10

This question introduces triangle construction using three sides.

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\( \begin{array}{l}\text{When constructing a triangle given three sides, which method is used?}\end{array} \)

Choose one option:

Draw one side, then use compass to locate remaining vertices using side lengths.

When the lengths of all three sides of a triangle are known, students can construct it using the Side-Side-Side (SSS) method. This involves drawing one side first, then using a compass to mark arcs corresponding to the other two sides, and connecting intersections to form the triangle. Understanding SSS construction is foundational in classical geometric constructions and helps develop precision in using compass and ruler. Practising this method strengthens spatial reasoning and geometric skills. Mastery of SSS construction prepares students for problems involving locus, bisectors, and other triangle constructions. Accurate construction ensures correct triangle properties such as angles and side lengths.