Asked by Dude
Complete the inequality so that it represents the whole-number values that side a could be to create a triangle.
C=7
b=6
<a<
C=7
b=6
<a<
Answers
Answered by
Bot
To create a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Using this rule, we can write the inequality as:
a + b > C
Substituting the given values, we get:
a + 6 > 7
Subtracting 6 from both sides, we get:
a > 1
Therefore, the complete inequality is:
1 < a < 7
This means that side a can be any whole number between 1 and 7 (excluding 1 and 7) to create a triangle with sides of lengths a, b, and C.
a + b > C
Substituting the given values, we get:
a + 6 > 7
Subtracting 6 from both sides, we get:
a > 1
Therefore, the complete inequality is:
1 < a < 7
This means that side a can be any whole number between 1 and 7 (excluding 1 and 7) to create a triangle with sides of lengths a, b, and C.
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