Leo+DadMade for Leo
← Area of a Triangle
Rung 2 of 4 · The method

Actually Working One Out

You know why it's half a rectangle. Now let's make the calculation automatic, so you could do it half-asleep.


Practise Hit “New triangle”, work out the area in your head, then check yourself.
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Audio WalkthroughComing Soon
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Video ExplainerComing Soon

Every single triangle area question is the same three moves. Get these into your bones and there's nothing left to be scared of.

The Three Moves

One — find the base and the height. Pick a side to be the base (any side will do — more on that later). The height is the straight-up distance from the opposite corner to that base, always at a right angle. In the toy they're already marked for you in teal and violet.

Two — write the formula and drop the numbers in. Area = ½ × base × height. Don't skip writing it — it stops silly slips.

Three — work it out. Multiply the base and height first, then halve it (or halve one of them first if that's easier).

A Worked One, Slowly

Base 10, height 4. Formula: ½ × 10 × 4. Multiply the base and height: 10 × 4 = 40. Halve it: 20. And because area measures the flat space covered, the units are square ones — so 20 cm² if those were centimetres.

Handy shortcut: if either the base or the height is an even number, halve that one first. Base 7, height 6? Halve the 6 to get 3, then 7 × 3 = 21. Much friendlier than halving 42.

Watch Your Units

Whatever the base and height are measured in, the answer is that unit squared. Metres give square metres (m²), centimetres give square centimetres (cm²). Saying the little “squared” out loud every time is a good habit — it's the difference between a fence and a paddock.

Us, Thinking Out Loud

Could you teach the three moves back to me without peeking?

Which felt slower — the multiplying, or the halving?