Pythagoras, Pythagorean Theorem, 3D Models, 勾股定理, ピタゴラス定理

cults3d

Human: Pythagoras, Pythagorean Theorem, 3D Models The Pythagorean Theorem shines through in 3D models, a direct outcome of a^2 + b^2 = c^2 in three-dimensional space. Pick any height greater than zero, ha^2 + hb^2 = hc^2. Construct a box with square ends of constant height along each side of the right triangle, but there's more to it. We can build countless 3D (or 2D) models as long as they are similar. The volume of the solid on the hypotenuse equals the sum of the volumes of the two solids on the legs. Some 3D models catch the eye; others don't. Three 3D models illustrate a right triangle with dimensions 30mm, 50mm, and sqrt(3400)mm—semi-circle, square, and trapezoid. Each has a depth of 30mm. Water, sand, or rice can demonstrate the relationships. This method is messy but fun for students to learn from!