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Find the Hypotenuse Using Pythagoras' Theorem

In this worksheet, students will find the length of a hypotenuse of a triangle using Pythagoras' Theorem.

'Find the Hypotenuse Using Pythagoras' Theorem ' worksheet

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   AQA, Eduqas, Pearson Edexcel, OCR,

Curriculum topic:   Geometry and Measures, Mensuration

Curriculum subtopic:   Mensuration and Calculation Triangle Mensuration

Difficulty level:  

Worksheet Overview



Guess who

I was born 2500 years ago on the island of Samos

At the age of 18, I went to work for an astronomer

At the age of 21, I went to Egypt to learn about geometry

On my return to Greece, I opened a school in mathematics, music, philosophy and astronomy

I was famous for being a thinker.


Hello...Yes, it's me of course Pythagoras.




I am going to introduce you to my most well-known theorem.

Pythagoras' Theorem is a way of finding the length of the hypotenuse of a right-angled triangle.



Find the length of c


Follow these steps.


1.  Take the number from 1 side and square it.  2 x 2 = 4

2.  Take the number from the other side and square it. 6 x 6 = 36

3. Add your answers together 4 + 36 = 40

4. Square root (√) 40 = 6.32 to 2 decimal places.


check list


By the way, this only works for right-angled triangles.




The hypotenuse is always the longest side of a triangle.

So if your answer is smaller than any of the other sides you have made a mistake.


The formula is a² + b² = c²




What do you call a pot of boiling water at the top of Mount Everest?

High Pot in Use.


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