Question

A mathematical model of a farmhouse is
framed. The base ABCD is a
square.The beams that supports the roof
are the edges of a rectangular prism
EFGHKLMN.PointE is the midpoint of AT, F
is the midpoint of BT similarly G and H
denotes the midpoint of CT and DT.The
edges of the pyramid are of length 12cm.

a) What is the length of FG, where FG is one
of the horizontal edges of the block.

b) Find the length of the diagonal of the
square base?

c)In what ratio does G divide the line
segment TC?

Answer 1

Answer:

Step-by-step explanation:

Area of the attic floor ABCD. = 144 m² , The length of EF  = 6 m

Step-by-step explanation:

For complete Question see attached picture

area of the attic floor ABCD. = AB * BC

= 12 * 12

= 144 m²

Area of the attic floor ABCD. = 144 m²

E is the middle of AT  => ET = AT/2 = 6 m

F is the middle of BT  => FT = BT/2 = 6 m

ΔTEF ≈ ΔTAB

=> ET/AT  = FT/BT  =  EF/AB

=> 6/12 = 6/12 = EF/12

=> EF = 6 m

The length of EF  = 6 m