Answer:
The answer would be C. 4, 7, 7
Step-by-step explanation:
Hope this helps.
Option (C) 4,7,7 forms the side lengths of the triangle is the correct answer.
The triangle inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
For the given situation,
Consider the sides 4,7,7
By triangle inequality theorem,
Now, [tex]4+7 > 7[/tex]
⇒ [tex]11 > 7[/tex]
Now, [tex]7+7 > 4[/tex]
⇒ [tex]14 > 4[/tex]
Two sides are equal, so again
⇒ [tex]7+4 > 7[/tex]
⇒ [tex]11 > 7[/tex]
Thus the side lengths 4,7,7 forms the triangle.
Hence we can conclude that option (C) 4,7,7 forms the side lengths of the triangle is the correct answer.
Learn more about triangle inequality theorem here
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