# ACT Math 6.1 Coordinate Geometry

ACT Math: Coordinate Geometry Drill 6, Problem 1. What is the length of the line?

ACT Math | Coordinate Geometry |

ACT Mathematics | Coordinate Geometry |

Coordinate Geometry | Distance Distance and midpoints |

Foreign Language | Arabic Subtitled Chinese Subtitled Korean Subtitled Spanish Subtitled |

Language | English Language |

Product Type | ACT Math |

### Transcript

and will get a slope line from here to here

You're asking for this distance from here

to here and the really clever trick is that we have to recognize that this is really a question

for BJ Pythagoras which is A squared plus B squared equals C squared

If we draw a dotted line from here to here and this line cut across here

and then we have a right triangle here. So

now we just have to get this distance and this distance and we're good to go

so were two units here and three units here

so the line is five units long here

and on this side where three units of two units is over here

and this virtual line thingy is five units as well

now we just square them. A square 25 B squared 25. 25 plus 25 is

50 so this line here is square root of 50

50 is just 25 times 2 in the square root of 25 is five so the answer is

five times square root of 2 or answer C.