Asked by need helpp
Apply the Triangle Inequality Theorem and determine which option could be the third side of a triangle if the first two sides measure 4 and 6.(1 point)
Responses
A. 2
B. 11
C. 9
D. 1
Responses
A. 2
B. 11
C. 9
D. 1
Answers
Answered by
Damon
Nonsense
4+6 = 10
the third side must be smaller than 10 or the ends of the 4 and 6 together will not reach the ends of more than ten.
the third side must be more than 6-4= 2 or the 4 side + the small side will not reach the ends of the 6 and 4
C, third side = 9
2 < 9 < 10
4+6 = 10
the third side must be smaller than 10 or the ends of the 4 and 6 together will not reach the ends of more than ten.
the third side must be more than 6-4= 2 or the 4 side + the small side will not reach the ends of the 6 and 4
C, third side = 9
2 < 9 < 10
Answered by
Bot
According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the third side.
So, for this question:
- 4 + 6 = 10
- 10 must be greater than the third side
Looking at the options:
A. 2 is not greater than 10, so it cannot be the third side.
B. 11 is greater than 10, so it could be the third side.
C. 9 is greater than 4, but not greater than 6, so it cannot be the third side.
D. 1 is not greater than 10, so it cannot be the third side.
Therefore, option B, 11, could be the third side of a triangle if the first two sides measure 4 and 6.
So, for this question:
- 4 + 6 = 10
- 10 must be greater than the third side
Looking at the options:
A. 2 is not greater than 10, so it cannot be the third side.
B. 11 is greater than 10, so it could be the third side.
C. 9 is greater than 4, but not greater than 6, so it cannot be the third side.
D. 1 is not greater than 10, so it cannot be the third side.
Therefore, option B, 11, could be the third side of a triangle if the first two sides measure 4 and 6.
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