It is believed that they used a piece of rope, in the form of a loop, with 12 knots that were equidistant. If knots 1, 4 and 8 were attached to pegs and stretched out, they made a triangle of sides 3, 4 and 5. Then since 32 + 42 = 52, the pegs formed a right angle. Increasing the length of the rope and so the distance between the knots improved the accuracy.
Note that the longest side goes from knot 8 to knot 13 which is actually knot 1.
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Right angled triangles!
The congruence theorems for right triangles are the Hypotenuse-Leg (HL) theorem and the Leg-Acute Angle (LA) theorem. The HL theorem states that if the hypotenuse and one leg of one right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent. The LA theorem states that if one leg and one acute angle of one right triangle are congruent to one leg and one acute angle of another right triangle, then the triangles are congruent.
The pyramid builders of ancient Egypt certainly knew about the 3-4-5, as they used a wooden version to measure right angles.
Right-Angle triangles
you can't, because the Pythagorean theorem is for right triangles and the triangles formed by the diagonal of a parallelogram are not right triangles.