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Pythagoras' Theorem

Pythagorean Triples
3, 4, 5 is a triple because 3² + 4² = 5²
5, 12, 13 7, 24, 25 8, 15, 17 and others

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

Start

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

Word Question

Find A Short Side In A Composite Shape

Triples

a² + b² = c²
a squared plus b squared equals c squared

c² = a² + b²
c squared equals a squared plus b squared

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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.