Pythagoras' Theorem

In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We use Pythagoras' Theorem to try and find the missing length of a triangle when we know the other two lengths. If we know one length and an angle, we need to use trigonometry instead.

Video about applying Pythagoras' Theorem

Use Pythagoras' Theorem to find the length of an unknown side in a shape.

Exam type questions on Pythagoras' Theorem

Use Pythagoras' Theorem to find the length of the unknown sides. The last couple of questions involve the use of trigonometry as well.

Pythagoras' Theorem and Trigonometry

15 Questions on Pythagoras' and the rest on Trigonometry

Pythagoras' Theorem and Circles

Using Pythagoras' Theorem to calculate the area of a circle outside a triangle

 

 

 

 


Area and Shape Questions using Pythagoras

Use Pythagoras' Theorem to find the length of an unknown side in a shape.

Proving Pythagoras Theorem

A couple of photocopiable squares to cut out and help the children to prove Pythagoras Theorem.

Templates for Pythagoras' Theorem

A couple fo examples and then a couple of templates to help students get into the habit of writing down the correct things when solving Pythagoras' Theorem problems.

Pythagoras' Theorem Poster

An A4 poster about Pythagoras' Theorem

 

 

 

 


Questions on Pythagoras' Theorem

Questions designed to be used with a calculator about Pythagoras' Theorem.

Useful Spreadsheet for teachers

A useful spreadsheet for teachers to help them to work out their own questions. Includes lists of prime numbers, Pythagorean Triples, Composite Numbers and a times table grid

Pythagorean Triples Display

Setting problems and giving information about Pythagorean Triples

Video about Pythagoras' Theorem

A video showing how to work out the missing side in a 5, 12, 13 triangle.

 

 

 

 


 

Questions on calculating the missing side of a triangle and then a few more challenging questions

A question on perimeter

A question combining length of an arc and Pythagoras' Theorem to calculate a perimeter.

A booklet on Pythagorean Triples, square roots and indices

This booklet would probably be useful to use as an introduction to Pythagoras' Theorem

Walk through Exam Questions

Working the way through how to answer specific exam questions involving Pythagoras' Theorem.


Exam Questions

Exam questions involving Pythagoras' Theorem.

Calculate Missing Side, Perimeter and Area

Calculate Missing Side, Perimeter and Area of a triangle using Pythagoras' Theorem.

Calculate Missing Side, Perimeter and Area of a triangle using Pythagoras' Theorem.

Answers to Calculate Missing Side, Perimeter and Area

Answers to calculate Missing Side, Perimeter and Area of a triangle using Pythagoras' Theorem.

Answers to calculate Missing Side, Perimeter and Area of a triangle using Pythagoras' Theorem.

Assessment on Pythagoras Theorem

Assessment on Pythagoras' Theorem.

An assessment on Pythagoras' Theorem. Squaring numbers, finding the correct version of the formula to use, finding the length of a missing side using Pythagoras' Theorem and applying Pythagoras' Theorem to find the perimeter and area of a triangle.