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SAT Math Videos 171 videos
SAT Math 1.1 Statistics and Probability. In which of the following data sets are the arithmetic mean and the median equal?
SAT Math: Statistics and Probability Drill 1, Problem 2. If the four largest numbers in the set were doubled, what would happen to the median...
SAT Math 1.3 Statistics and Probability. Approximately what is the probability that they will be placed in alphabetical order?
SAT Math 10.4 Geometry and Measurement 404 Views
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Description:
SAT Math 10.4 Geometry and Measurement. What is the perimeter of triangle DEF?
- Triangles / Similar Triangles
- Product Type / SAT Math
- Geometry / Similarity, right triangles, trigonometry, and dimensions
- Geometry / Understand similarity in terms of similarity transformations
- Similarity, Right Triangles, and Trigonometry / Understand similarity in terms of transformations
- Additional Topics in Math / Congruence and similarity
Transcript
- 00:02
Here’s your shmoop du jour, brought to you by similar triangles.
- 00:07
If it wasn’t for the tattoo, we wouldn’t be able to tell them apart.
- 00:10
Triangle ABC is similar to triangle DEF. What is the perimeter of triangle DEF?
- 00:18
Okay, we’ve got a couple of similar triangles here.
- 00:21
Apparently triangles of a feather flock together...
Full Transcript
- 00:24
All right, so these are both right triangles…
- 00:26
…and one of them has a leg with length 6 and a hypotenuse with length 10…
- 00:31
…Hello! Looks like we’ve got a 3-4-5 triangle...
- 00:35
Both known distances have been doubled from the original 3-4-5 ratio…
- 00:39
…so we know we have to double the missing length as well.
- 00:43
Four times two is eight… and we have a triangle with sides of 6, 8 and 10.
- 00:50
Plugging those numbers into our internal adding machine… we get a total perimeter of 24.
- 00:55
Now, before you waste gobs of time trying to figure out what the lengths of the sides in our other triangle are…
- 01:01
…just note that the one side we DO know is 2/3 of the corresponding side in triangle number one.
- 01:07
These triangles are similar… so the perimeter is going to carry over the same ratio.
- 01:12
We’ll take 24 times 2/3… to get 16…and that’s our answer. We're done!
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