The length of one sides of a
triangle are5cm and12cm.
Between which two numbers can length of third side fall?
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The third side can fall between 7 cm and 17 cm.
Step-by-step explanation:
The greatest side of any triangle must be smaller than the sum of the other (smaller) two sides.
∴ the greatest side must be smaller than (5 + 12) cm = 17 cm.
If that is one of the smaller sides, then 12cm will be the greatest side.
By the same principal, 12 cm will be smaller than the sum of the other two sides.
∴ the third side must be greater than the difference between 12 cm and 5 cm i.e. (12-5) cm = 7 cm.
∴ the third side can fall between 7 cm and 17 cm.
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