# 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

work on Lee realised hours later that he mis read

00:29the work order and had been making equal lateral triangles

00:32rather than right triangles By the time he caught his

00:36mistake he had two hundred fifty useless people Lateral playing

00:39on the factory floor How would he ever be able

00:42to make in measure five hundred right triangles in time

00:47steve suddenly realized that if he split all the equal

00:49lateral triangles exactly in half you'd have twice a cz

00:54many triangles And they'd all be right Triangles with one

00:58angle of sixty degrees one angle of forty degrees and

01:01one angle of ninety degrees It was the most brilliant

01:04idea steve had ever had in his entire life Steve

01:08was so busy celebrating that he completely forgot He was

01:11also supposed to include the measurements Remember even if the

01:14size is air different every right triangle has the same

01:18angles Thirty sixty and ninety degrees Let's Look back at

01:22that original equal lateral triangle A pot News of the

01:26right triangle Is one of the original sides of the

01:28equal lateral triangle let's Assign it The variable x the

01:33side facing the thirty degree angle is always half of

01:37one of the original sides that's x divided by two

01:41that leaves the side facing the sixty degree angle Steve

01:45may not have enough time to use the pythagorean theorem

01:47for two hundred fifty separate triangles but he can certainly

01:50is it just once we confined the length of the

01:53side here which would be rude three acts over too

01:58Turns out that this is the relationship between the side

02:00lengths of every thirty sixty ninety triangle where x is

02:04the length of my pot news But steve if you

02:06get fired over this whole thing anyway we hear there's 00:02:09.245 --> [endTime] an opening at circles express