Unit 15 · Projection of a Side of a Triangle
15 randomly selected questions from a bank of 60 · one attempt · 15 minutes on the clock.
Student Learning Outcomes covered
- In an obtuse-angled triangle, the square on the side opposite the obtuse angle equals the sum of the squares on the sides containing the obtuse angle, plus twice the rectangle contained by one of the sides and the projection of the other on it
- In any triangle, the square on the side opposite an acute angle equals the sum of the squares on the sides containing that angle, diminished by twice the rectangle contained by one of those sides and the projection of the other on it
- In any triangle, the sum of the squares on any two sides equals twice the square on half the third side, together with twice the square on the median which bisects the third side (Apollonius' theorem)
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