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Euclid's height theorem h² = p · q [Home] [Search] [Forum] [Links] [Contact] [Imprint] [Sitemap]
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Assertions h² = p·q Evidence Condition - theorem of Pythagoras: The height divides the triangle into two right angled triangles: ahp and bqh. So, the following is obtained according to the theorem of Pythagoras: h² + p² = a² h² + q² = b²
Hypotenuse squared, is the same as both hypotenuse sections added to the second power: c² = (p+q)² c² = p² + 2pq + q²
Theorem of Pythagoras, insert and sum up:
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