Question

Summarize Euclid's approach to proving proposition 1.47 and 1.48.

1.47: In right-angled triangles, the square on the side subtending the right angle is equal to the squares on the sides containing the right angle.

1.48: If In a triangle the square on one of the sides be equal to the squares on the remaining two sides of the triangle, the angle contained by the remaining two sides of the triangle is right.

Answer 1

• PROOF OF PROPOSITION 1.47:

• THEOREM : 6.7 :

Hence in this way we can prove Pythagoras Theorem as : AB² + BC² = AC² .

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• PROOF OF PROPOSITION 1.48:

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