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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

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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