Liev is assembling a coffee table. The diagram below is from the instruction manual and shows the table after the first two legs have been attached. 32in, 24in
Note: Figure is not drawn to scale.
The next step in assembling the coffee table is to attach a support from point D to point C, which is halfway down leg A.
The table legs are each 18 inches tall. What is the length of the support?
A.
41 inches
B.
40 inches
C.
44 inches
D.
49 inches
B. 40 inches
The distance between points D and C is equal to the height of the table minus half the distance between points A and B. Therefore, 18 inches (height of table) - (32 inches (distance between A and B) / 2) = 18 inches - 16 inches = 2 inches.
So the length of the support (distance between D and C) is 24 inches + 2 inches + 14 inches = 40 inches.