ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Mathematics and Statistics Assessment Videos 200 videos
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...
Which of the following points is a location where the function f(x) = -2x² + 12x + 54 crosses the horizontal axis?
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
Full Transcript
- 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
Which is the best way to revise and combine sentences 1 and 2?
Where would the following sentence best be placed?
Which of the following is best to insert at the beginning of sentence 8?
Which is the best location for sentence 9?
Which of the following sentences is best to insert between sentences 11 and 12?