ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


TSI Mathematics Videos 144 videos

TSI Math: Understanding Points of Intersection
17 Views

Two parabolas are graphed in the coordinate plane. Parabola A is a function, and parabola B is not a function. What is the maximum number of points...

TSI Math: Solving a Quadratic Equation for x
5 Views

What is x for the equation 2x² + 36 = -18x?

TSI Math: Finding a Line's x-Intercept Given a Point on that Line
4 Views

Which of the following points is a location where the function f(x) = -2x² + 12x + 54 crosses the horizontal axis?

See All

TSI Math: Understanding the Properties of a Triangle 4 Views


Share It!


Description:

Two sides of a triangle are known. These two sides measure 13 and 18 units. Which of the following could NOT be the perimeter of the triangle?


Transcript

00:03

All right machin uppers Here we go Another question Foreign

00:05

triangle's Two sides of a triangle are known These two

00:09

sides measure thirteen and eighteen units Which of the following

00:12

could not be the perimeter of the triangle So let's

00:19

think about it But we have a line thirteen long

00:21

here and it's connected here and there's Another one's eighteen

00:24

so hung time take out the triangle inequality serum We

00:27

aren't given the length of the third side of the

00:28

triangle but using that to given sides allows us to

00:31

find a range of possible lengths for the third leg

00:34

The triangle inequality Throughem tells us that given to sides

00:38

they envy of the triangle is less than be the

00:40

third side Must be between b minus a and b

00:43

plus eh Right So well see why this is true

00:47

Imagine the angle between a and b is very small

00:49

In that case vienna are almost on top of each

00:52

other Almost looks like a thick line The third side

00:55

that connects them can't be shorter than be minus a

00:58

well The other extreme All the angle between a and

01:01

b is very large Say close to one hundred eighty

01:03

degrees and if that's the case then the third side

01:06

that connects them can't be longer than b plus eh

01:09

So we have two sides of the triangle and we

01:11

know the third side must have a length Between well

01:13

eighteen minus thirteen is five units or well eighteen plus

01:18

thirteen is thirty one units Interesting So if the third

01:23

side fell out of this range we would not be

01:25

able to connect the three sides to actually make a

01:28

triangle It'd be other too short or too long Well

01:31

given that the third side must measure between five and

01:33

thirty one units the perimeter of the entire triangle must

01:36

be between thirteen plus eighteen plus five that's thirty six

01:40

units and sixty two units We have thirteen plus eighteen

01:44

thirty one right well the only answer choice that lives

01:47

outside this ranges eh thirty five units So that's the 00:01:50.536 --> [endTime] answer for shmoop

Related Videos

TSI Writing: Revising a Letter by Adding Transitions
147 Views

Which is the best way to revise and combine sentences 1 and 2?

TSI Writing: Adding a New Sentence to Improve a Letter's Structure
27 Views

Where would the following sentence best be placed?

TSI Writing: Choosing the Best Introductory Transition
18 Views

Which of the following is best to insert at the beginning of sentence 8?

TSI Writing: Shifting a Letter's Structure to Improve the Organzational Flow
8 Views

Which is the best location for sentence 9?

TSI Writing: Choosing the Most Effective Sentence Structure
15 Views

Which of the following sentences is best to insert between sentences 11 and 12?