# NCERT Class 7 Mathematics Solutions: Chapter 6 – the Triangle and Its Properties Exercise 6.4 Part 3 (For CBSE, ICSE, IAS, NET, NRA 2022)

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1. is quadrilateral. Is ?

Answer:

The sum of lengths of any two sides in a triangle should be greater than the length of third side.

Consider ,

… eq (i)

In ,

… eq (ii)

In

… eq (iii)

In

… eq (iv)

Adding eq. (i) , (ii) , (iii) , (iv)

Yes, the given expression is true.

2. The lengths of two sides of a triangle are . Between what two measures should the length of the third side fall?

Answer:

The sum of lengths of any two sides in a triangle should be greater than the length of third side.

It is given that two sides of triangle are

So, the third side should be less than

And also the third side cannot be less than the difference of the two sides.

So, the third side has to be more than

So, the third side could be the length more than and less than