A, B and C are three colinear points. A and B are respectively (3,4) and (7,7) and AC is equal to 10 units. Find the coordinates of C.
Hello, Ilsa!
Did you make a sketch?
are three collinear points.
and are (3,4) and (7,7), respectively,
and is equal to 10 units.
Find the coordinates ofCode:| C | o | * : | * :3 | B * : | (7,7)o - - - - - - - + | * : 4 | * :3 | A * : | (3,4)o - - - - - - - + | 4 | | - + - - - - - - - - - - - - - - - - - - - - - |
To go from point to point , we move: right 4, up 3.
The length of is: .
Since the length of is 10, then: .
To go from point to point , we move (again): right 4, up 3.
Therefore, point C is at: .