# 30-60-90 Triangle (New)

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?

 Geometry Triangles Language English Language Triangles Types of Triangles

### Transcript

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

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

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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