ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Geometry Videos 251 videos
One formula to rule them all, one formula to find them. One formula to bring them all, and in the darkness bind them. Or something like that. I...
Measurement and Geometry: Drill Set 5, Problem 3. Which of the following figures shown on the same coordinate axis would be the resulting triangle?
Measurement and Geometry Drill 5 Problem 4. Which of the following best describes the transformation as shown in the graph below?
SAT Math 2.3 Geometry and Measurement 267 Views
Share It!
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.
Related Videos
SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?
In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...
Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...