Last updated on Oct 23, 2026

Pythagoras' Theorem (Junior Cert Mathematics): Flashcards

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Pythagoras' Theorem

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What type of triangle does Pythagoras' Theorem work for?

Right-angled triangles only

Hypotenuse in a right-angled triangle

Longest side, opposite the right angle

Name for the other two sides

Legs of the triangle

Pythagoras' Theorem formula

$c^2 = a^2 + b^2$

What does $c$ represent in $c^2 = a^2 + b^2$ ?

The hypotenuse (longest side)

What do $a$ and $b$ represent in $c^2 = a^2 + b^2$ ?

The other two sides (legs)

Formula to find side $a$ using Pythagoras

$a^2 = c^2 - b^2$

Formula to find side $b$ using Pythagoras

$b^2 = c^2 - a^2$

Hypotenuse when sides are $3$ cm and $4$ cm

$5$ cm

Side when hypotenuse is $13$ cm, other side $5$ cm

$12$ cm

Exam tip for Pythagoras' Theorem questions

Show every step of working

First step when using Pythagoras' Theorem

Draw a diagram

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Right Angled Triangles

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