We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.

ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

ACT Math 6.1 Coordinate Geometry 209 Views


Share It!


Description:

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

Language:
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.

Up Next

Inequalities in Number Lines
3236 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

Related Videos

ACT Math 3.1 Intermediate Algebra
1956 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

ACT Math 3.1 Plane Geometry
2561 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

ACT Math 1.2 Pre-Algebra
891 Views

ACT Math: Pre-Algebra Drill 1.2. What proportion of Jenna's day is spent Wii-swimming?

ACT Math 1.1 Pre-Algebra
1062 Views

Pre-Algebra Drill 1, Problem 1. Calculate 23 + 53(7 – 4).