ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Coordinate Geometry Videos 9 videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

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 3.2 Geometry and Measurement
207 Views

SAT Math 3.2 Geometry and Measurement

See All

SAT Math 2.3 Geometry and Measurement 267 Views


Share It!


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.

Related Videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

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...

SAT Math: Which Equation Represents Profit?
13 Views

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...