ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

30-60-90 Triangle (New) 477 Views


Share It!


Description:

30-60-90s are the customers of the triangle world—always right. Let's make sure to stay on their good sides. Is there an equation for that?

Language:
English Language

Transcript

00:00

Thank you We speak thirty sixty ninety triangles Ala gramma

00:07

steve and competent is in charge of manufacturing triangles at

00:11

triangles unlimited Recently steve received the following work order five

00:19

hundred right triangles various sizes by five o'clock tomorrow Please

00:23

include all measurements of side links Steve went right to

00:26

work on Lee realised hours later that he mis read

00:29

the work order and had been making equal lateral triangles

00:32

rather than right triangles By the time he caught his

00:36

mistake he had two hundred fifty useless people Lateral playing

00:39

on the factory floor How would he ever be able

00:42

to make in measure five hundred right triangles in time

00:47

steve suddenly realized that if he split all the equal

00:49

lateral triangles exactly in half you'd have twice a cz

00:54

many triangles And they'd all be right Triangles with one

00:58

angle of sixty degrees one angle of forty degrees and

01:01

one angle of ninety degrees It was the most brilliant

01:04

idea steve had ever had in his entire life Steve

01:08

was so busy celebrating that he completely forgot He was

01:11

also supposed to include the measurements Remember even if the

01:14

size is air different every right triangle has the same

01:18

angles Thirty sixty and ninety degrees Let's Look back at

01:22

that original equal lateral triangle A pot News of the

01:26

right triangle Is one of the original sides of the

01:28

equal lateral triangle let's Assign it The variable x the

01:33

side facing the thirty degree angle is always half of

01:37

one of the original sides that's x divided by two

01:41

that leaves the side facing the sixty degree angle Steve

01:45

may not have enough time to use the pythagorean theorem

01:47

for two hundred fifty separate triangles but he can certainly

01:50

is it just once we confined the length of the

01:53

side here which would be rude three acts over too

01:58

Turns out that this is the relationship between the side

02:00

lengths of every thirty sixty ninety triangle where x is

02:04

the length of my pot news But steve if you

02:06

get fired over this whole thing anyway we hear there's 00:02:09.245 --> [endTime] an opening at circles express

Up Next

Surface Area of Cylinders
14740 Views

Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?

Related Videos

Perimeter of Irregular Shapes
4864 Views

Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...

Introduction to 3D Geometry
55502 Views

It's one thing when all those shapes are sitting flat on the page. But when they start popping out and invading our personal space bubble, we get a...

An Introduction to 3D Geometry
812 Views

Does thinking about 3D Geometry get you bent out of shape? Never fear! Watch this video and figure out some fun new shapes to bend back into. We're...

ACT Math 3.5 Plane Geometry
394 Views

ACT Math: Plane Geometry Drill 3, Problem 5. How long would it take for the wheel to make two rotations?