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Geometry and Measurement Videos 88 videos

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?

SAT Math 1.1 Geometry and Measurement
719 Views

SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?

SAT Math 1.2 Geometry and Measurement
246 Views

SAT Math: Geometry and Measurement Drill 1, Problem 2. If A = (0, 4), B = (-3, 2), and C = (1, 0), which point is in the interior of angle ABC?

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SAT Math 3.5 Geometry and Measurement 208 Views


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Description:

SAT Math 3.5 Geometry and Measurement

Language:
English Language

Transcript

00:03

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

00:06

In our opinion, they totally suck.

00:09

An equilateral triangle can be made using three straws.

00:12

Two congruent equilateral triangles can be made using five straws.

00:16

What is the smallest number of straws needed to make six congruent equilateral triangles?

00:22

And here are the potential answers...

00:26

Okay, first of all…while we appreciate the effort, you can put the box of straws back where you found them.

00:32

We don’t need to be that…hands on.

00:34

Okay, they show us the triangle made out of three straws, and then the two triangles made out of 5.

00:39

The question asks us what is the least number of straws we can use to make six of these puppies?

00:44

Well, we could lay them all out in a row… that would be one way of doing it.

00:48

That would take… 13 total straws.

00:50

But… we have a sneaking feeling they’re looking for a trickier answer than that.

00:54

How else can we arrange these fellas?

00:56

All right… so if we keep adding them in a clockwise or counterclockwise direction instead…

01:01

…we wind up with a hexagon that appears to be divided into 6 equal pieces.

01:06

And that way, we only need a single straw to complete our final triangle…

01:09

…giving us a grand total of 12, which is unbeatable.

01:12

So our solution is choice B.

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