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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.
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.
Full Transcript
- 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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