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SAT Math 2.3 Geometry and Measurement 267 Views


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Description:

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

Language:
English Language

Transcript

00:02

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

00:06

It's always right between the legs.

00:10

This cube has side lengths of 4.

00:13

Point B is in the center of the top side and Point A is in the center of the right side.

00:18

Find the length of AB.

00:20

Here are the potential answers...

00:25

This problem is actually a lot simpler than it appears, and

00:27

really just involves knowing one simple rule about triangles...

00:35

What we do know is that the side length of each side is 4…

00:39

…and that these points are located exactly halfway across a couple of the sides.

00:43

Well, using advanced calculus we can determine that half of 4 is 2…

00:48

…so B has to be 2 away from each edge, and A has to be the same.

00:53

So if we go ahead and draw that imaginary line from B to A…

00:57

…we create an isosceles triangle, with each leg measuring “2.”

01:01

Now all we have to do is apply our knowledge of isosceles triangles…

01:05

…specifically, that the legs and hypotenuse always have a ratio of x to x to x square root of 2.

01:12

And since we have our x value – “2”…

01:14

…our hypotenuse, or line AB, must be 2 square root of 2.

01:18

Answer B.

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