In a regular triangular pyramid SABC (S is the vertex), E is the midpoint of the slant height of the face SBC. The points F, L and M respectively lie on the edges AB, AC and SC and, |AC| = 10*|AL|.

It is known that EFLM is an isosceles trapezoid and the length of its base EF is equal to √7.

Find the volume of the pyramid.

(In reply to Solution by Bractals)

The first line contains a typo. The volume is eł√2/12.

I do not want to edit this since I will have to change all the special characters.

Edited on June 16, 2012, 12:12 am

Posted by Bractals on 2012-06-15 12:29:13