E. The lengths of two sides of a triangle are 6 cm and 8 cm. Between which two numbers can length
of the third side fall?
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E. The lengths of two sides of a triangle are 6 cm and 8 cm. Between which two numbers can length of the third side fall ?
By the rule ,sum of the length of any two sides of a triangle must be greater than the third side .
- measure of one side is 6 cm.
- measure of second side is 8 cm.
- let measure of third side be x .
Therefore ,
- 6 + 8 = 14 must be greater than x means x is smaller than 14 .
- 6 + x = 6 + x must be greater than 8 means . here to get the sum greater than 8 value of x must be greater than 2 .
- 8 + x = 8 + x must be greater than 6 .here .
Therefore the measure of third side must be between 2 and 14 .
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