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30-60-90 Triangle (New) 477 Views


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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

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