Pythagoras' Theorem (Leaving Cert Mathematics): Flashcards

Pythagoras (or one of his followers), around 600 BC

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

The two shorter sides of the right-angled triangle

The hypotenuse (longest side)

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

Opposite the right angle

$c = \sqrt{a^2 + b^2}$

$a = \sqrt{c^2 - b^2}$

13 cm

8 cm

Approx. 4.77 m

Approx. 7.21 units