What is Pythagoras' theorem?

Pythagoras' Theorem is a rule for right-angled triangles which is used to solve problems.

Explanation:

For any right-angled triangle, the longest side (opposite the right angle) is called the hypotenuse. If you square the length of the hypotenuse, this will always be equal to the sum of the squares of the other two lengths. This is Pythagoras' Theorem. 

Example: if the hypotenuse is 5cm long, and the other two lengths are 3cm and 4cm long...

55 = 44 +3*3

25 = 16 + 9

25cm = 25cm

This rule can be used to work out missing lengths. If one of the above lengths had been missing, you could have used the equation to calculate the missing length:

a^2 + b^2 = c^2

where c is the hypotenuse and a and b are the other two lengths.

SP
Answered by Sarah P. Maths tutor

5569 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the gradient of the line passing through the point (1,2) and (5,5)? What is the equation of this line? What is the equation of the line perpendicular to this line that passes through the origin (0,0)?


Solve the simultaneous equations A and B: [A] 2x + y = 18 [B] x - y = 6


Prove Pythagoras' Theorem


write x^2 + 10x - 6 in the form (x+a)^2 + b


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences