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Answer:
x ∈ (9,∞)
Step-by-step explanation:
In this question, if the angle between side 'x' and the side which measures 3cm is 90 degrees, then :
According to the Pythagoras Theorem,
a²+b² = c² [Where 'c' is the hypotenuse.]
x²+3² = 12²
x² = 144 - 9
x = √135
Else,
If the angle is not given, then :
The sum of the first two sides should be greater than the third side for the triangle to be valid.
x+3>12
x>12-3
x>9
∴x ∈ (9,∞)
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