Question

Which set of measurements could be the side lengths of a triangle?

A.)3m, 6m, 3m
B.)4m, 7m, 12m
C.)9m, 5m, 3m
D.)4m, 11m, 9m

Answer 1

Answer:

D.) 4m, 11m, 9m

Step-by-step explanation:

According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be larger than the third side in order to form a triangle.  Using the two shortest sides, you can find the sum and check to make sure it is larger than the third:

3m + 3m  = 6m NOT greater than 6m

4m + 7m = 11m NOT greater than 12m

5m + 3m = 8m NOT greater than 9m

4m + 9m = 12m YES greater than 11m

Answer 2

D.)4m, 11m, and 9m could be the side lengths of a triangle.

According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be larger than the third side in order to form a triangle.  

Using the two shortest sides, you can find the sum and check to make sure it is larger than the third.

4m + 9m = 12m which is greater than 11m.

What are the three theorems about triangle inequalities?

• If the sum of any sides is more than the 0.33, then the difference among any aspects could be less than the 1/3.
• The sum of any sides ought to be extra than the 1/3 aspect.
• The side contrary to a larger attitude is the longest side inside the triangle.

Learn more about Triangle Inequality Theorem here: https://brainly.com/question/309896

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