. A right prism has triangular bases ABC and A’B’C’ with right angles A and A’. the edges AA’ is 20 cm long, side AB is 24 cm long, and side AC is 18 cm long. If a plane is passed through the edge AC cutting the opposite edge, BB’ at a point 14 cm from B’, find the distance from the point B to this plane. Also, find the area of this plane.

Question

. A right prism has triangular bases ABC and A’B’C’ with right angles A and A’. the edges AA’ is 20 cm long, side AB is 24 cm long, and side AC is 18 cm long. If  a plane is passed through the edge AC cutting the opposite edge, BB’ at a point 14 cm from B’, find the distance from the point B to this plane. Also, find the area of this plane.

anonymous · Answer

Here, 
BB' = AA' = 20 cm 

plan cuts at D, SO, BD = 14 cm 

distance from B to plan = 20 -14 = 6 cm >========< ANSWER