Answer:
see the explanation
Step-by-step explanation:
we know that
The<u><em> Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Applying the triangle inequality theorem
Let
c ----> the measure of the length of the third side
1) 

2) 

so
The solution for the length of the third side is the interval (2,22)
All real numbers greater than 2 centimeters and less than 22 centimeters
Answer:
Yes
Step-by-step explanation:
If the longest side squared is equal to the sum of the squares on the other 2 sides then they form a right triangle
longest side = 7.5
7.5² = 56.25
2.1² + 7.2² = 4.41 + 51.84 = 56.25
Thus the 3 values form a right triangle.
Answer:
1 yard
Step-by-step explanation:
1yard = 3 feet and there is only 2
The solution of the inequality 3r ≤ 4r - 6 is r ≥ 6.
<h3>How to solve inequality?</h3>
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
An inequality have the symbol <, >, ≤ and ≥. Hence, the inequality can be solved as follows:
3r ≤ 4r - 6
subtract 4r from both sides of the inequality,
3r ≤ 4r - 6
3r - 4r ≤ 4r - 4r - 6
3r - 4r ≤ - 6
- r ≤ -6
divide both sides of the inequality by -1
Therefore, the solution is r ≥ 6
learn more on inequality here: brainly.com/question/11784045
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