Pythagoras Shorter Side Worksheet GCSE

Find a shorter side of a right-angled triangle using Pythagoras, with the working x² = c² − a² set out in boxes that fade away question by question. 16 questions, full answers included.

Worksheet (1 page): 8 questions. The first triangles give the working in boxes to fill in, the support fades away, and the page finishes with triangles on their own and two worded questions, with answers to 1 decimal place.

Further practice (1 page): 8 questions graded by difficulty, including a point on a coordinate grid, the height of an isosceles triangle, a zip wire, a wheelchair ramp, a two-triangle problem, finding an area and a spot-the-mistake question.

Answers to all 16 questions are included as a separate file.

Suitable for GCSE Foundation and Higher (AQA G20) and for Key Stage 3 classes working on Pythagoras’ theorem.

AI was used to help create this resource, working from my own lesson design.