MATHEMATICS · Subjective · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
Answer the following:
(i) State the theorem relating the angle subtended by a diameter at a point on the circumference of a circle.
(ii) Using the theorem stated in part (i), explain why every triangle formed by the endpoints of a diameter and any other point on the circle is a right-angled triangle.
(iii) If a triangle is inscribed in a circle and is right-angled, what can you say about the side opposite the right angle? Give reasons for your answer.