ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos

Using the Properties of Special Right Triangles 5 Views


Share It!


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

Up Next

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

Related Videos

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...

SAT Math: Which Equation Represents Profit?
13 Views

Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...