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SAT Math 9.2 Geometry and Measurement 185 Views


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Description:

SAT Math 9.2 Geometry and Measurement

Language:
English Language

Transcript

00:02

Here’s your shmoop du jour, brought to you by conjoined triangles.

00:06

Yeah, they’re a bit of a freak show.

00:09

Find the value of y.

00:11

Here are the potential answers...

00:16

Find the value of y… okay, easy enough.

00:19

Well, we’ve got two triangles… we have only one piece of information for one of them…

00:24

…and TWO pieces of information for the other.

00:26

Makes sense to start with the triangle we know more about…

00:29

All right, so we have a right triangle… with one side length of 6 and another of 8…

00:35

Ah, boom. We know this guy. It’s one of those 3-4-5 dealios.

00:39

Okay, so if the ratio is 3 to 6, and 4 to 8…

00:43

…then our hypotenuse is also going to be double the 5… or 10.

00:48

All right, now we have two pieces of information for the TOP triangle…

00:52

And NOW we can bring Pythagoras into it.

00:54

We get a squared plus b squared equals c squared. Remember that?

00:57

4 squared plus 10 squared equals y squared.

01:01

4 squared is 16… 10 squared is 100…

01:04

…and 16 plus 100 is 116.

01:06

So 116 = y squared… which makes y the square root of 116.

01:12

116 is 4 times 29… so we can break it down into 2 times the square root of 29,

01:19

final answer which is Choice B and we're done!

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