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Geometry and Measurement Videos 88 videos

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?

SAT Math 2.3 Geometry and Measurement
267 Views

SAT Math 2.3 Geometry and Measurement. Find the length of AB.

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SAT Math 1.3 Geometry and Measurement 231 Views


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Description:

SAT Math 1.3 Geometry and Measurement. Find the length of CE.

Language:
English Language

Transcript

00:03

Here’s your shmoop du jour, brought to you by the length of a line.

00:07

Although…we hear it’s been using supplements.

00:10

Find the length of CE.

00:13

Here's a little picture and we're looking for the length of this line right here.

00:18

And here are the potential answers...

00:22

We know right off the bat, for example, that triangle CDE is a 30-60-90 triangle.

00:37

…and we remember that the sides of a 30-60-90

00:40

triangle always have a ratio of x to x square root of 3 to 2x.

00:46

It’s pretty obvious that DE is the longer of the two legs…

00:50

…and even if we weren’t sure by eyeballing it, we know it has to be the side across from the 60…

00:55

…so we can use that information to solve for CE, the hypotenuse.

01:00

5 equals x square root of 3.

01:03

We want to get x alone…

01:06

…so we divide both sides by square root of 3…

01:09

…and x equals 5 over the square root of 3.

01:13

Our hypotenuse has to be 2x…so multiply that whole thing by 2 and we wind up with

01:18

10 over the square root of 3. Of course, we have this thing about leaving

01:23

square roots in the denominator… …so multiply both the top and bottom by

01:26

square root of 3 and we have 10 square root of 3 all over 3…

01:31

…which is answer B.

01:33

We didn’t even need triangle ABC. Who knows why they threw that in here.

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