"In a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
This proof is the classical proof of the Pythagorean Theorem, using a theorem of Euclid; proving Euclid's theorem leads us directly to the proof of Pythagorean Theorem. (visualization skills are necessary here)
Euclid's theorem: In a right triangle, the square of one of the two shorter sides has the same area as the rectangle whose sides are the projection of that side onto the hypotenuse and the hypotenuse itself.
Above is a right triangle drawn on it's hypotenuse."
Priory of Sion - Sensational Merovingian Cross preserved by a Venetian family. The decoration of this cross is similar to the silver cross displayed in the glass case in the top photo.
"In a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
This proof is the classical proof of the Pythagorean Theorem, using a theorem of Euclid; proving Euclid's theorem leads us directly to the proof of Pythagorean Theorem. (visualization skills are necessary here)
Euclid's theorem: In a right triangle, the square of one of the two shorter sides has the same area as the rectangle whose sides are the projection of that side onto the hypotenuse and the hypotenuse itself.
Above is a right triangle drawn on it's hypotenuse."
Priory of Sion - Sensational Merovingian Cross preserved by a Venetian family. The decoration of this cross is similar to the silver cross displayed in the glass case in the top photo.
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