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What shapes can you use to create a hexagon?
6 triangles
How do you use 1 hexagon and 3 triangles to make a large triangle?
To create a large triangle using one hexagon and three triangles, first, position the hexagon so that one of its sides is aligned horizontally. Then, place the three triangles around the hexagon, with their bases aligned with the hexagon's sides, forming an outward-facing triangle shape. Ensure that the points of the triangles reach outward to complete the larger triangle's vertices. Adjust the positioning to ensure all shapes fit together seamlessly, creating a cohesive larger triangle.
How do you find the area of a regular hexagon whose apothem is 1.7cm and side length is 2cm?
To find the area of a regular hexagon, you can use the formula: Area = (Perimeter × Apothem) / 2. The perimeter of the hexagon is 6 times the side length, so for a side length of 2 cm, the perimeter is 12 cm. Substituting the values into the formula gives: Area = (12 cm × 1.7 cm) / 2 = 10.2 cm². Thus, the area of the hexagon is 10.2 cm².
What is the size of one angle in a hexagon?
In a regular hexagon in which the angles are congruent you can use a formula. ((6-2)*180)/6 120 degrees. The reason this works is that you can draw 4 diagonals inside the hexagon and triangles have 180 degrees each.
How do you find the area of a rectangle when one diagonal is given?
Divide the rectangle in two triangles and then use the pythagorean theorem to find the remaining sides.
