To find the length of line AB with endpoints A(3,2) and B(8,14), we can use the distance formula:
The distance formula is given by:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using the given coordinates:
x1 = 3, y1 = 2
x2 = 8, y2 = 14
Substituting into the distance formula:
Distance = √((8 - 3)^2 + (14 - 2)^2)
Simplifying the equation:
Distance = √(5^2 + 12^2)
Distance = √(25 + 144)
Distance = √169
Distance = 13
Therefore, the length of line AB is 13 units.
What is the length of line AB with endpoints A(3,2) and B(8,14)
5 answers
What is the midpoint of line AB with endpoints A(3,2) and B(8,14)
To find the midpoint of line AB with endpoints A(3,2) and B(8,14), we can use the midpoint formula:
The midpoint formula is given by:
Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
Using the given coordinates:
x1 = 3, y1 = 2
x2 = 8, y2 = 14
Substituting into the midpoint formula:
Midpoint = ( (3 + 8) / 2 , (2 + 14) / 2 )
Simplifying the equation:
Midpoint = ( 11 / 2 , 16 / 2 )
Midpoint = ( 5.5 , 8 )
Therefore, the midpoint of line AB is (5.5, 8).
The midpoint formula is given by:
Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
Using the given coordinates:
x1 = 3, y1 = 2
x2 = 8, y2 = 14
Substituting into the midpoint formula:
Midpoint = ( (3 + 8) / 2 , (2 + 14) / 2 )
Simplifying the equation:
Midpoint = ( 11 / 2 , 16 / 2 )
Midpoint = ( 5.5 , 8 )
Therefore, the midpoint of line AB is (5.5, 8).
triangle ABC has verticies A(1,5) B(9,7) and C(7,13). M is the midpoint of AB and N is the midpoint of BC. WHich of the following is the length of MN
To find the length of MN, we first need to find the coordinates of M and N.
Given that A(1,5), B(9,7), and C(7,13), we can calculate the coordinates of M and N using the midpoint formula:
Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
For M, the coordinates of A are (1,5) and the coordinates of B are (9,7).
Using the midpoint formula for M:
M = ( (1 + 9) / 2 , (5 + 7) / 2 )
M = ( 10 / 2 , 12 / 2 )
M = ( 5 , 6 )
For N, the coordinates of B are (9,7) and the coordinates of C are (7,13).
Using the midpoint formula for N:
N = ( (9 + 7) / 2 , (7 + 13) / 2 )
N = ( 16 / 2 , 20 / 2 )
N = ( 8 , 10 )
Now that we have the coordinates of M and N, we can find the length of MN using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using the given coordinates for M and N:
x1 = 5, y1 = 6
x2 = 8, y2 = 10
Distance = √((8 - 5)^2 + (10 - 6)^2)
Distance = √(3^2 + 4^2)
Distance = √(9 + 16)
Distance = √25
Distance = 5
Therefore, the length of MN is 5 units.
Given that A(1,5), B(9,7), and C(7,13), we can calculate the coordinates of M and N using the midpoint formula:
Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
For M, the coordinates of A are (1,5) and the coordinates of B are (9,7).
Using the midpoint formula for M:
M = ( (1 + 9) / 2 , (5 + 7) / 2 )
M = ( 10 / 2 , 12 / 2 )
M = ( 5 , 6 )
For N, the coordinates of B are (9,7) and the coordinates of C are (7,13).
Using the midpoint formula for N:
N = ( (9 + 7) / 2 , (7 + 13) / 2 )
N = ( 16 / 2 , 20 / 2 )
N = ( 8 , 10 )
Now that we have the coordinates of M and N, we can find the length of MN using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using the given coordinates for M and N:
x1 = 5, y1 = 6
x2 = 8, y2 = 10
Distance = √((8 - 5)^2 + (10 - 6)^2)
Distance = √(3^2 + 4^2)
Distance = √(9 + 16)
Distance = √25
Distance = 5
Therefore, the length of MN is 5 units.