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ACT Aspire Math: Which Side Length Could NOT Complete the Triangle? 1 Views
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Description:
A triangle has one side that's 6 units long and another side that's 5 units long.
Which of the following could not be the length of the third side?
Transcript
- 00:02
Okay Mash bumpers Next one coming at you Ah triangle
- 00:05
time A triangle has one side that six units long
- 00:08
and another side That's five units long Well which of
- 00:10
the following could not be the length of the third
- 00:13
side Well this problem's asking you to remember the triangle
Full Transcript
- 00:22
inequality serum Given any two sides of a triangle the
- 00:25
third side must be between the absolute difference of the
- 00:27
two sides and some of the two sides Well here's
- 00:30
another way to think about the problem Imagine you're a
- 00:32
giant gymnast with one leg that's five feet long and
- 00:36
another one that's six feet long Well when you're standing
- 00:39
up right with both legs together one of your legs
- 00:41
doesn't reach the ground Well the shorter leg finally manages
- 00:45
to reach the ground so that you form a triangle
- 00:47
with the ground The distance between your two feet can't
- 00:50
be any longer than the absolute difference of the two
- 00:53
sides so it has to be at least well one
- 00:55
foot there right So before that point your other leg
- 00:58
can't reach the ground so you could only make an
- 01:00
incomplete triangle with the ground Well once you reached one
- 01:04
hundred eighty degree split your no longer forming a triangle
- 01:07
with the ground at the very last point at which
- 01:09
you form a triangle with the ground while the distance
- 01:12
between your two feet will be no greater than the
- 01:14
sum of the length of your two legs Well in
- 01:16
this case one leg is six and the other is
- 01:20
five and the absolute difference of them is one So
- 01:23
the sum of the two sides is eleven The third
- 01:26
side can't be exactly one because well then the angle
- 01:30
between the two given sides would be zero degrees Well
- 01:33
the third side can't be eleven because this would require
- 01:36
the angle between the two given sides to be one
- 01:38
hundred eighty degrees And it's not really a triangle is
- 01:40
it Well the only answer choice that isn't between these 00:01:43.575 --> [endTime] two Numbers is 11 e yeah
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