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Which collection of three side lengths can be used to form a triangle? 3ft,6ft,10ft 3ft,6ft,9ft 4ft,9ft,6ft 10ft,5ft,4ft Help XD
asked
Feb 11, 2019
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Which collection of three side lengths can be used to form a triangle?
3ft,6ft,10ft
3ft,6ft,9ft
4ft,9ft,6ft
10ft,5ft,4ft
Help XD
Mathematics
middle-school
BlakeTNC
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BlakeTNC
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Hello!
In order to create a complete triangle, the sum of the two
smaller
sides must be
greater than the
largest
side. This can be expressed using the following formula:
(S1) + (S2) > (S3)
We'll begin by inserting the first set of values into the inequality above:
3 + 6 > 10
Simplify the left side:
9 > 10
The inequality (9 > 10) is false. Therefore,
the first set of values can be eliminated.
Now complete the same process for the next set of values:
3 + 6 > 9
9 > 9
The inequality (9 > 9) is false. Therefore,
we can eliminate the second set of values as well.
Now complete the same process for the third set of values:
4 + 6 > 9
10 > 9
The inequality (10 > 9) is true. Therefore,
we can confirm the third set of values (4 ft - 9 ft - 6ft) as a valid answer.
I hope this helps!
Matthew Carey
answered
Feb 15, 2019
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Matthew Carey
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