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Pythagoras' Theorem

A triangle with a right angle
Three sides        long        short        other
long × long    =    short × short    +    other × other

long × long    =    short × short    +    other × other


long2 = short2 + other2
Long Squared Equals Short Squared Plus Other Squared


In a right-angled triangle there is a right angle

The longest side of a right-angled triangle
is ALWAYS the side opposite the right angle

The LONGEST SIDE of a right-angled triangle
is called the HYPOTENUSE

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Start                  

Layout Of Calculations
Find The Long Side - Find A Short Side

Word Question

Find A Short Side In A Composite Shape

Triples eg 3, 4, 5 and 5, 12, 13
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a2 + b2 = c2
a squared plus b squared equals c squared

c2 = a2 + b2
c squared equals a squared plus b squared
Edited by Dr David Cornelius an Independent Private Maths Tutor with over 25 years of experience and The Secretary of The Association of Tutors in the UK for 15 years.