Chapter 5.4, Problem 39E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# A, C and F are three of the vertices of the cube shown in the accompanying figure. Given that each face of the cube is a square, what is the measure of angle ACF?

To determine

To Find:

The angle ACF.

Explanation

Given A, C and F are three of the vertices of the cube shown in the accompanying figure. Given that each face of the cube is a square,

From then figure, observe that each side of triangle ACF is diagonal of one square. Since this is a cube, then the square on each face are congruent. Hence the diagonal of them are congruent. It follows that

ACÂ¯â‰…AFÂ¯x

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