What is an Egyptian triangle?

Answer 1

Each year the Nile river would flow, depositing silt and removing farm markings on the land of Egypt. Engineers would be brought in to establish the "square" boundaries of the land. These engineers were known to have a necklace that contained 12 equally spaced knots. When this necklace is stretched out it forms a triangle that has a 3:4:5 ratio of its sections and forms a right angle between its 3 side(leg) and the 4 side(leg). Therefore the 3:4:5 triangle is called the Egyptian triangle. A triangle that has integers for the sides and the sum of squares of the legs equals the square of the long side(hypotenuse) is called a Pythagorean triple which includes the Egyptian triangle. There are other right triangles that do not have integers for sides but also must have leg squared plus leg square equal to the hypotenuse squared.