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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?
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
Full 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
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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