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SAT Math Videos 171 videos

SAT Math 1.1 Algebra and Functions
315 Views

SAT Math 1.1 Algebra and Functions. Find an algebraic equation to correspond with the data.

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 1.1 Numbers and Operations
280 Views

SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?

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SAT Math 4.1 Geometry and Measurement 193 Views


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Description:

SAT Math 4.1 Geometry and Measurement

Language:
English Language

Transcript

00:02

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

00:06

Without them, every other necktie would have a fish on it.

00:11

What is the length of the diagonals of a rectangle with sides equal to x and 2x?

00:17

Here are the potential answers...

00:21

Hm…when might we see a rectangle with diagonals in real life…?

00:26

Perhaps we’re looking at a Confederate flag...

00:29

…or that quilt your grandmother stitched for you…

00:31

…or a dead Sasquatch floating in our swimming pool…

00:34

Yeah, let’s go with the Sasquatch. We can’t bear to look at that quilt again.

00:38

Okay, so if your pool has a width of x and a length of 2x…

00:42

…we want to know the length of the Sasquatch,

00:44

from the end of one hand to the tip of his opposite enormous foot.

00:50

What we should immediately recognize is that the diagonal of any rectangle divides the

00:55

shape into two equally sized triangles.

00:58

So as long as we know how to determine the hypotenuse of

01:01

a right triangle given the length of its legs…this should be a cinch.

01:04

We’re going to fall back on our a squared plus b squared equals c squared formula…

01:09

…so x squared plus 2x squared equals c squared. So let's rewrite it...

01:14

2x squared is 4x squared… added to our one x squared.

01:19

That gives us 5x squared equals c squared.

01:22

We can take the square root of both sides to get x√5 = c.

01:27

So our answer is C.

01:29

Such a bummer that we’re going to have to put up with that stench another three days.

01:32

The pool guy doesn’t come until Tuesday…

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