Unit 23 · Pythagoras Theorem
15 randomly selected questions from a bank of 60 · one attempt · 15 minutes on the clock.
Topics covered
- Pythagoras' theorem — statement and formal proof using similar triangles
- The corollary of Pythagoras' theorem for a right angle at any vertex
- The converse of Pythagoras' theorem — statement and formal proof using congruent triangles
- Classifying a triangle as right, acute, or obtuse by comparing the squares of its side lengths
- Applying Pythagoras' theorem to solve real-life problems (ladders, anchor lines, shortest paths, navigation, and more)
- Solving for unknown sides and distances in rectangles, isosceles triangles, and equilateral triangles
- Verifying whether a given set of three side lengths can form a right-angled triangle
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