Answer:
<h2> √3</h2>
Step-by-step explanation:

From triangle: 
Therefore:

Answer: 6,8 and 10
Step-by-step explanation:
To find the length , all we need to find is the distance between each point ,
the formula for calculating distance between two points is given by :
D = 
Let the points be :
A ( -5,-1)
B(-5,5)
C(3,-1)
Calculating the length AB , we have
D1 = 
D1 = 
D1 = 
D1= 6
Calculating the length AC , we have
D2 = 
D2 = 
D2 = 
D2 = 8
Calculating the length BC , we have
D3 = 
D3 = 
D3 = 
D3 = 10
Therefore ,the length of the sides of the triangle are 6,8 and 10
Answer:
4' x 2' x 1'
Step-by-step explanation:
Collins' cube has a volume of that is the length of any side, x, cubed: Vol = x^3. Since his box has 8^3, we can say that x = 2. <u>[2^3 = 8]</u>
Amil's box has one side that is 2x. That side would be 2*2 = 4 feet. His volume is also 8 ft^3. Amil's box also has a volume of 8 ft^3.
His box dimensions are therefore: (4)(X)(Y) = 8 ft^3 , where X and Y are whole-number dimensions for the other 2 dimensions of his box.
(4)(X)(Y) = 8 ft^3
X*Y = 2
The only combination of whole numbers for which this this would work is 1 and 2.
Amil's box is 4' x 2' x 1' or 8 ft^3