lengths of two sides of a Triangle are 4 cm and 9 cm. Between which two numbers can length of the third side fall?
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Answer:
Between 5cm and 13cm.
Step-by-step explanation:
Let the third side be x.
Since, in a triangle, the sum of the lengths of two sides is always greater than the third side, x + 4 > 9, x + 9 > 4, and 4 + 9 > x.
x + 4 > 9 implies x should be greater than 5 and
4 + 9 > x implies that x should be lesser than 13.
Therefore, 5 < x < 13.
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