ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Types of Triangles Videos 10 videos

Triangles
6456 Views

This video covers the different types of triangle. What makes a triangle isosceles, scalene, or equilateral? What about the different kinds of angl...

SAT Math 2.5 Geometry and Measurement
258 Views

SAT Math 2.5 Geometry and Measurement

SAT Math 3.5 Geometry and Measurement
208 Views

SAT Math 3.5 Geometry and Measurement

See All

SAT Math 9.2 Geometry and Measurement 185 Views


Share It!


Description:

SAT Math 9.2 Geometry and Measurement

Language:
English Language

Transcript

00:02

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

00:06

Yeah, they’re a bit of a freak show.

00:09

Find the value of y.

00:11

Here are the potential answers...

00:16

Find the value of y… okay, easy enough.

00:19

Well, we’ve got two triangles… we have only one piece of information for one of them…

00:24

…and TWO pieces of information for the other.

00:26

Makes sense to start with the triangle we know more about…

00:29

All right, so we have a right triangle… with one side length of 6 and another of 8…

00:35

Ah, boom. We know this guy. It’s one of those 3-4-5 dealios.

00:39

Okay, so if the ratio is 3 to 6, and 4 to 8…

00:43

…then our hypotenuse is also going to be double the 5… or 10.

00:48

All right, now we have two pieces of information for the TOP triangle…

00:52

And NOW we can bring Pythagoras into it.

00:54

We get a squared plus b squared equals c squared. Remember that?

00:57

4 squared plus 10 squared equals y squared.

01:01

4 squared is 16… 10 squared is 100…

01:04

…and 16 plus 100 is 116.

01:06

So 116 = y squared… which makes y the square root of 116.

01:12

116 is 4 times 29… so we can break it down into 2 times the square root of 29,

01:19

final answer which is Choice B and we're done!

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...