Leo+DadMade for Leo
Applying Pythagoras
Rung 3 of 4 · The traps

Add or Subtract — and Mind the Units

Nearly every lost mark here is the same slip: adding the squares when you should have subtracted. Spot the hypotenuse first and it stops happening.


ExploreEach triangle hides one side. Choose add or subtract — get it wrong and it’ll tell you exactly why.
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The method from rung 2 is solid. The trouble is people reach for “add” out of habit, even when they're hunting a shorter side — and that quietly gives a wrong, too-big answer.

Trap One: Subtracting, Not Adding

If you're finding a shorter side, you must subtract the squares: a² = c² − b². Add them by mistake and you'll get a number bigger than the hypotenuse — which is impossible, because the hypotenuse is the longest side. The fix is a one-second check: “is the side I want the hypotenuse?” If no, subtract. In the toy, choosing “add” on a shorter-side question stops you and explains it.

Say it plainly: the hypotenuse is always the longest side, sitting opposite the right angle. Finding it → add. Finding either shorter side → subtract. If your “shorter side” comes out longer than the hypotenuse, you added when you should've subtracted.

Trap Two: Which Side Is the Hypotenuse

You can only call it correctly if you spot the hypotenuse, and it's always the side opposite the right angle — the slanted one, the longest one. In a worded problem it's the ladder, the diagonal, the straight-line shortcut. Mislabel it and both the add/subtract choice and the whole sum go wrong from the start.

Trap Three: Rounding and Units

Two finishing-line slips. First, keep the units the same — don't mix metres and centimetres in one sum, or square one before converting. Second, round only at the end, to one decimal place, and carry the unit through: √52 ≈ 7.2 cm, not just “7.2”. Round halfway and small errors snowball.

Us, Thinking Out Loud

How can you tell, instantly, which side is the hypotenuse?

If a “shorter side” answer is bigger than the hypotenuse, what went wrong?