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March 31, 2015

March 31, 2015

Posted by **Olayinka** on Sunday, December 4, 2011 at 5:37pm.

11/28/11

Chapter 9 Extra Credit Quiz

Name: _____________________________ Section #______________________

Tetrahedral geometry has a bond angle of about 109.5 °. Given that a tetrahedron is made up of 4 equilateral triangles each of length x, what is the exact distance in units of x from the exact center of the tetrahedron to one of the vertices? What is the exact value of the angle formed between the center and any two vertices? (Hint: From the center of an equilateral triangle to the corners, you can draw three lines that forms 3 triangles each with 1/3 the area of the original triangle. Something similar happens for the four pyrimids that can be formed from the center of the tetrahedron to each vertex.).

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