Answer and Explanation
Your Answer is
Correct Answer is G
Explanation
To find the area of an equilateral triangle whose side length is 2, first calculate the height as √3 according to the Pythagorean Theorem, S = 2*√3 / 2 = √3
Use the following information to answer questions 47-49.
A regular icosahedron is a solid that has 20 congruent faces, each of which is an equilateral triangle. Each vertex is shared by 5 faces, and each edge is shared by 2 faces.
A specialty die used in a certain board game is in the shape of a regular icosahedron with a certain number of dots on each of the 20 faces. In the image below, 10 faces of the die are visible.
The table below lists the total number of faces on this die that have the given number of dots.
48. What is the area, in square centimeters, of 1 face of the specialty die, given that the length of each of its edges is 2 centimeters?