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Pythagoras' theorem
Pythagoras sats
MathRare
Discovered 1800 BC · Babylon
SPARKON01 / 10
Pythagoras' theorem
The ideaIn a right-angled triangle, the squares on the two short sides add up to the square on the long side.
a² + b² = c²
Lets you predictA distance you cannot measure, from two you can.
Tests usually ask
- Find the missing side
- Is this triangle right-angled?
Scan for the full explanation and a practice question.
SPARKON · 01 / 10
SPARKON · 01 / 10
ChallengeLab Duel
Will a 5 m ladder reach a window 4 m up if its foot must stand 3 m out?
Yes or no, and prove it.
Play a card that solves it and say why in one sentence.
SPARKONC3
Accepted answers
C3
Pythagoras' theorem
Only one card fits this one.
A winning explanationThe ladder is the long side: 3² + h² = 5², so h² = 16 and h = 4 m. It reaches exactly to the window sill, with nothing to spare.
√(25 − 9) = √16 = 4 m
Close enough counts: the other players decide if the explanation is right.
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