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A triangle has sides measuring 2 and 7 of X represents the length in inches of the third side, which inequality gives the range of possible
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A triangle has sides measuring 2 and 7 of X represents the length in inches of the third side, which inequality gives the range of possible values for X
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Mathematics
3 years
2021-08-05T18:09:14+00:00
2021-08-05T18:09:14+00:00 1 Answers
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Answer:
The inequality range of X is determined as 5 < X < 9
Step-by-step explanation:
Given;
first length of the triangle = 2 inches
second length of the triangle = 7 inches
third length of the triangle = X
From the third length rule of a triangle, the following inequality range will be applied to determine the length of “X”;
The third length of the triangle must be greater than the difference of the two known sides BUT less than the sum of the two known sides.
(7 – 2) < X < (7 + 2)
5 < X < 9
possible values of X = 6, 7, 8
Therefore, the inequality range of X is determined as 5 < X < 9