Yes.
In our example, the area of the equilateral triangle is 1/6 of the area of the regular hexagon
True...
Using Pythagoras' theorem the height of the equilateral triangle works out as about 7 cm and so with the given dimensions it would appear to be quite difficult to work out the lateral area.
15.588 ft2 using the formula: (Sqrt(3)/4)×(side)²
Yes.
Yes it can
the sum of the angles of a plane triangle is always 180° In an equilateral triangle, each of the angles is = Therefore, the angles of an equilateral triangle are 60°
No, not normally
By using Pythagoras' theorem
By using Pythagoras' theorem.
Equilateral triangles are also equiangular.
Place the dodecagons so that every third side of a dodecagon is adjacent to another. In the gaps that are formed insert four equilateral triangles so that these touch a pair of dodecagons. Finally, fill the gap between the triangles using a square.
True
true!! apex.
In our example, the area of the equilateral triangle is 1/6 of the area of the regular hexagon
Cutting the equilateral triangle in half results in two right triangles each with a base of length x/2, and angles of 30, 60, and 90 degrees. Using the lengths of sides of a 30-60-90 triangle it can be found that the height is (x/2)√(3), which is the same as the height of the equilateral triangle.So the height of the equilateral triangle is x√(3) / 2.