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ACT Math 6.1 Coordinate Geometry 209 Views


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

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English Language

Transcript

00:02

And here is your shmoop du jour...

00:04

A line segment has endpoints -2 -3

00:07

and 3, 2 what is it's length?

00:11

And here are your options.

00:15

OK. first we have to visualized this puppy. Just draw a graph

00:18

and will get a slope line from here to here

00:22

You're asking for this distance from here

00:25

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

00:30

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

00:35

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

00:38

and then we have a right triangle here. So

00:42

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

00:45

so were two units here and three units here

00:50

so the line is five units long here

00:53

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

00:58

and this virtual line thingy is five units as well

01:01

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

01:08

50 so this line here is square root of 50

01:12

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

01:17

five times square root of 2 or answer C.

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