Help your students prepare for their Maths GCSE with this free Pythagoras Theorem worksheet of 43 questions and answers
Pythagoras Theorem states that, in a right angled triangle abc, the square of the length of the hypotenuse (or longest side) c is equal to the sum of the squares of the lengths of the two shorter sides of the triangle, a and b. Its algebraic formula is a2+b2=c2. It is sometimes called the Pythagorean Theorem.
This result can be used to find the length of a missing side of a right angle triangle when the other two are known.
To find the length of the hypotenuse, square the lengths of the sides a and b, and add them. Finally, square root to find the length of the unknown side. To find the length of a missing shorter side (say a), square b and c. We then proceed by subtracting the square of b from the square of c, and taking the square root as before.
Square rooting will often result in non-terminating decimals so students should give their final answers to an appropriate number of decimal places or significant figures.
A Pythagorean triple is a set of three integers that satisfies Pythagoras theorem – for example, 3, 4, 5 or 6, 8, 10. It is useful for students to be able to spot these.
There are some common real life applications of Pythagoras that come up in exam questions, such as finding how far up a wall a ladder reaches.
Looking forward, students can then progress to additional geometry worksheets, for example a how to work out perimeter worksheet or an area of compound shapes worksheet.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensure a personalised revision programme that raises grades and boosts confidence.