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Branch 05 · free, no sign-up

Geometry Calculators

Geometry is algebra with a picture attached. Each calculator names the theorem or formula it is using, so the answer is traceable back to a reason rather than a shape you had to recognise.

Every calculator in this branch is checked by a mathematician before it goes live.

Pythagorean Theorem worked example
  1. a² + b² = c² the Pythagorean theorem
  2. 6² + 8² = c² substitute the two legs
  3. 100 = c² 36 + 64
  4. c = 10 take the positive root — a length cannot be negative

Where this sits

What comes before geometry

each topic assumes the one to its left

Stuck part way through? Start at the leftmost topic you are not sure about — everything to the right depends on it.

Knowledge base

Read the reasoning, not just the answer

one article per question a teacher would answer

All explainers

Questions

Asked often enough to answer here

the ones that change how you work, not trivia

Does the Pythagorean theorem work on any triangle?

Only on right-angled ones. For other triangles you need the law of cosines, which is the same idea generalised — and which reduces to Pythagoras when the angle is 90°.

Why is area squared and volume cubed?

Because area multiplies two lengths and volume multiplies three. The unit records how many lengths went into the answer, which is also why doubling a side quadruples the area but multiplies the volume by eight.

Do I have to memorise every area formula?

No. Learn the rectangle and the triangle properly and most of the others follow: a parallelogram is a rearranged rectangle, a trapezium is two triangles.

Nearby

Branches that touch this one

linked because the maths overlaps, not because it fills space