Mathematics Class 8
The Baudhayana-Pythagoras Theorem
Find a side of a right triangle, test a corner, and use roots and triples.
16 lessons · ~99 min total
Track progress — 0 of 16 lessons read 0%
Lessons in this topic
- 0 Start here A roadmap: the long side, a square on every side, one addition that ties them, and where it is used. · 3 min You are here
- 1 Naming the sides A right-angled triangle has one corner of exactly 90°. Its longest side sits across from that corner, and has its own name. · 5 min
- 2 A square on every side Build a real square outwards on each side of a triangle. Count the unit tiles inside it. Three sides, three counts. · 5 min
- 3 The two smaller squares together On a right-angled triangle, the two smaller squares add up to exactly the tiles in the biggest one. · 6 min
- 4 Only at a right angle Swing the corner off 90° and the two totals come apart. Which way tells you if the corner is narrow or wide. · 6 min
- 5 Finding the long side Square the two short sides, add, then hunt for the number that squares to the total. Sometimes no whole number fits. · 6 min
- 6 Finding a shorter side When the long side is already known, the adding turns into a subtraction. The long side is always the one you subtract from. · 6 min
- 7 Testing a triangle without a protractor Three lengths are enough to say whether a corner is exactly square. A near miss is not a match. · 6 min
- 8 Where it is used A ladder, a gate brace, a field diagonal — the same steps, every time, on a real length you can cut. · 6 min
- 9 Corner to corner of a square A square on the diagonal has double the area, so c² = 2a². · 7 min
- 10 The long side as a decimal Square a guess. Keep one guess below and one above, and move them closer. · 8 min
- 11 One triple makes many Scale every side of a triple by one whole number. It stays a triple. · 8 min
- 12 The hidden depth of a pond A bent stem is the long side of a right triangle. Use it to find a depth you cannot measure. · 9 min
- 13 Checkpoint: roots, triples and a pond Check the equal-sided triangle, the decimal long side, scaled triples and the pond. · 6 min
- 14 The big picture Twelve ideas, one cheat sheet. · 4 min
- 15 Track quiz Cheat-sheet table plus a reveal quiz — one question per idea. · 8 min
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