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Using the Properties of Special Right Triangles 5 Views
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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
Full Transcript
- 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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