ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Distance and midpoints Videos 2 videos

ACT Math 5.4 Coordinate Geometry
385 Views

ACT Math: Coordinate Geometry Drill 5, Problem 4. Find the other endpoint.

ACT Math 6.1 Coordinate Geometry
209 Views

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

See All

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.

Related Videos

Inequalities in Number Lines
3229 Views

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

ACT Math 3.1 Intermediate Algebra
1955 Views

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

ACT Math 3.1 Plane Geometry
2559 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
1061 Views

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