Height of an equilateral triangle = √3/2 x side
= √3/2 x 20
= 10√3
≈ 17.32
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20. There are 3 sides to any triangle. For an equilateral triangle all 3 sides are the same length. Therefore for this triangle we can say that, where x equals the length of a side: 3x = 60 x = 60/3 x = 20
Using Pythagoras' theorem its height works out as 17.321 inches rounded to 3 decimal places
If a "1 inch triangle" means a triangle each of whose sides is 1 inch, then there is no answer to the question. These are equilateral triangles and equilateral triangles can tesselate to form a larger equilateral triangle. The fact that the large triangle is equilateral means that its three sides are equal so that its perimeter ie the sum of the three sides must be divisible by 3. 20 is not divisible by 3.
0.5*20*height = 302 Multiply both sides by 2 and then divide both sides by 20 to find its height:- height = 30.2 units of mersurement Check: 0.5*20*30.2 = 302 square units
An icosahedron is a regular polyhedron with 20 equilateral triangle faces.