Question

A plane bisects a 90 degrees dihedral angle. From a point on this plane 16 in. From the common edge, perpendicular lines are constructed to the respected faces of the dihedral angel find the length of each perpendicular

Answer 1

If we cut the dihedral with a plane perpendicular to the edge, we obtain a 90 degrees angle cut by its bisecting line. **The distances from the points of the planes are the same as the distances from the points of the lines in the normal section.** **All the points of the bisecting line are equidistant from the sides, and the perpendiculars to the sides form two congruent right isosceles triangles. **So, since the the point if 16 inches away from the vertex, you would solve this equation:
16 / √2 = your answer

Answer 2

Hi mangorox, Thanks for the reply. My answer is 8 √2 in. What i did is divide 16 by half and using the pythagorean √8^2 + 8^2 = 8√2 in