MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
A student tries to construct a triangle with PQ=5cm, QR=4cm and ∠P=30∘. He finds that two different positions for point R are possible. Which of the following best explains this outcome?
(a) The data satisfy the SSS condition, allowing two triangles.
(b) The data satisfy the SAS condition, so two different triangles can be drawn.
(c) The data give an SSA set, which does not determine a unique triangle.
(d) The data give an ASA set, which always produces two triangles.