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SAT Math 9.2 Geometry and Measurement 194 Views
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Description:
SAT Math 9.2 Geometry and Measurement
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.
Full Transcript
- 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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