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Additional Topics in Math Videos 32 videos

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Description:

In triangle ΔXYZ, angle Y measures 90°. If , what is the measure of angle Z?


Transcript

00:00

Yeah Whoa Okay S eighty minutes Shmoop ear's in triangle

00:05

X y Z angle Why measures ninety degrees Right angle

00:09

there Yeah If co sign of Z is a half

00:11

what's the measure of Angles E In this crazy mathematical

00:17

world of ours there are three types of special right

00:20

triangles The first has special side such as a three

00:23

four five triangle Well the second has special angles This

00:26

questionnaire first to one of the two special right triangles

00:30

with special angles either thirty sixty ninety or a forty

00:33

five forty five ninety one right that I saw Sally's

00:36

flavour Well it's helpful to know their side proportion So

00:39

here they are Okay well since the co signed value

00:42

and the problem has no square rooted to the answer

00:45

is related to a thirty sixty ninety triangle draw One

00:48

label sides X Y n z and make sure why

00:50

is the right angle Well the coast sign of an

00:52

angle is the length of the adjacent leg divided by

00:56

the hop hot news we're given co sign a Z

00:58

and the leg Jason toe angles E is y Z

01:02

So let's just label those and the high pot news

01:04

I will look at this alongside the example triangle right

01:07

here They look like they've got a whole lot in

01:09

common but the main point is the acts which is

01:12

equivalent toe y Z with length of one right there

01:15

Well the angle opposite that side is thirty degrees This

01:18

thing right That thirty Well but is not the answer

01:21

The problem wants angles E which is one eighty minus

01:24

ninety minute thirty Which his sixty degrees That's angles e

01:28

O and wait We forgot all about that third type

01:30

of special triangle Yeah about that There isn't one You

01:34

were trying to set up a joke using the old

01:35

rule of threes but we're tapped out of comedy here 00:01:38.58 --> [endTime] so just that's it It's c bye Hello

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