a 2. The lengths of the two sides of a triangle are 4 cm and 9 cm. Find two numbers between which is the length of the third side.
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your answer is 5 and 13
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length of third side should be greater than 5 and less than 13
Step-by-step explanation:
in a triangle the sum of the lengths of any two sides should be greater than the length of the third side.
here the lengths of two sides are 4 and 9 respectively.
4+9=13, implies that the lenght of the third side should be less than 13.
now let the unknown length be X. then following the above property,
X+4>9 and
X+9>4( we can ignore this inequality since 9 is already greater than 4)
now,X+4>9 implies X>9-4, implies X>5.
there the length of third side should be greater than 5 and less than 13
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