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What shape can you create with two squares and two triangles?
A rectangle.. If you combine the triangles to make another square and then place all the squares in a row it makes a rectangle. you can also make a trapezium, if you place the 2 squares next to each other and then the triangles beside them...
What figure can be bisected diagonally to make two right triangles?
A square or rectangle.
Dividing a rectangle in half diagonally always produces two equal triangles?
Yes, two equal right-angle triangles.
Can you make a rectangle out of two triangles and a square?
Sure, place a triangle's hypotenuse (longest side) on the other triangle's hypotenuse, that will give either a square or a rectangle. Then place the square on one end of the rectangle. For this to work though, the length of the square's side HAS to equal the length of the triangles hypotenuses, and likewise each triangle's hypotenuse much equal the length of a side of the square. Hope this is clear.
What is the area of a regular hexagon with a side of 4 and an apothem of 3 46?
Easy. Since the side is the base and the apothem is the height of the triangle, multiply them and divide by two to get the area of the triangle. 3 * 3.46 = 10.38 /2 = 5.19. Then multiply by 6 to get the area of the hexagon. 5.19 * 6 = 31.14. You multiply by 6 because you can fit 6 regular triangles in a regular hexagon. We've already found the area of one regular triangle in the hexagon.
