Question

6. In a triangle, two sides are given as 7 cm and 5 cm. Between which two numbers can its third side lie?

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Answer 1

Answer:

The length of two sides of a triangle are 6 cm and 8 cm. Between which two numbers can the length of the third side fall?

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Let the third side be x.

Given that length of two sides are :6 cm and 8cm .

•So as we know that sum of two sides is always greater than the third side for any triangle to be formed .

So the condition is x is always less than than 14 cm (x<14)

•Also we know that any side of triangle is always greater than the difference of other two sides.

So the condition is x is always greater than 2 cm.(2<x)

Hence the third side always lie between 2 and 14

i.e 2<x<14