Sometimes, Think Inside the Box!

Geometry Level pending

In the given figure , which is a unit sized cube , find the measure of the angle B ′ C ′ D B'C'D in degrees.


The answer is 60.

Aniruddha Bagchi by Aniruddha Bagchi , 20, India

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1 solution

Marta Reece
May 27, 2017

If you complete the triangle B ′ C ′ D B'C'D , it will be made up entirely of face diagonals, all of which are equal to one another in length. It will therefore be an equilateral triangle and all three of its angles, including ∠ B ′ C ′ D " \angle B'C'D" will be 6 0 ∘ 60^\circ .

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