Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
Answer:

Step-by-step explanation:


No.
Tom forgot about the area of the top/roof, the floor and roof are different dimensions/areas, making his method incomplete.
He needs to find area of Roof, Floor then times height.
Answer:
Yes, he will have enough 3 over 8 ft pieces for his class.
Step-by-step explanation:
Given:
Number of wood required = 22
Length of each wood, 
Total length of the board, 
Therefore, the number of woods that can be made using the given board is given as:

So, he can make 24 woods of length
using the 9 ft board. But he has to make only 22 pieces.
Therefore, he has enough of the wood to make the required number of pieces.
Answer:
SAS
Step-by-step explanation:
SSS= Side Side Side
SAS= Side Angle Side
ASA= Angle Side Angle
SAA= Side Angle Angle
HL= Height Length