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Unformatted text preview: 3-4-5 triangle. Does it Produce a Right Angle? According to the Pythagorean theorem, In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs. The converse of is also true, If the square of one side of a triangle equals the sum of the squares of the other two sides, then we have a right triangle. For the 3-4-5 triangle; 5 2 = 3 2 + 4 2 25 = 9 + 16 It checks, showing a rope knotted like this will give a right angle. The rope-stretcher's triangle is also called the 3-4-5 right triangle, the Rope-Knotter's triangle, and the Pythagorean triangle. Project: Use a long knotted rope to make a rope-stretcher's triangle. Use it outdoors to lay out a right angle on some field. Then continue, making three more right angles to form a square. How accurate is your work? Did you come back to the starting point?...
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- Fall '10