Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm
Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side
For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm
If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
Answer:
The distance between the two points is 
Step-by-step explanation:
In order to find the distance between two coordinate pairs, we can use the distance formula:

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

This assigns a name to our points:
Therefore, we can plug these into the formula and solve:

Therefore, the distance between the two points is
.
Answer:1. find the intersection, 2.) 0 and 1, 3,) 2 and 3, 4.) 0.4, 2.8
Step-by-step explanation:
Answer:
Third answer
Step-by-step explanation:
1 x 7 = 7
36 x 7 = 252
5/8 is 0.625 , so that would be the decimal for it