Last updated on Oct 23, 2026

Pythagoras' Theorem (Junior Cert Mathematics): Quizzes

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Pythagoras' Theorem

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For which type of triangle does Pythagoras' Theorem work?

Right-angled triangles only

What is the hypotenuse in a right-angled triangle?

The longest side

Where is the hypotenuse located in a right-angled triangle?

Opposite the right angle

What are the other two sides (not the hypotenuse) sometimes called?

The legs

What is the formula for Pythagoras' Theorem?

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

In the formula $c^2 = a^2 + b^2$ , what does $c$ represent?

The hypotenuse

Which formula should you use to find side $a$ ?

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

A triangle has sides $3$ cm and $4$ cm. What is the hypotenuse?

$5$ cm

If $c^2 = 3^2 + 4^2$ , what does $c^2$ equal?

$25$

Hypotenuse is $13$ cm, one side is $5$ cm. What is the other side?

$12$ cm

What should you do when using Pythagoras' Theorem in an exam?

Show every step of your working

What must you remember to include in your final answer?

The correct units (e.g., cm, m)

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