NCERT Class 7 Mathematics Solutions: Chapter 6 – the Triangle and Its Properties Exercise 6.4 Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Given Median of an Acute Triangle, Median of an Obtuse Trian …

1. is a median of a triangle ABC. Is

(Consider the sides of triangles )

Triangle ABC with Median

Answer:

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

In

… . eq (i)

Similarly, in

… eq (ii)

Yes, the given expression is true.

2. is a quadrilateral. Is ?

Quadrilateral ABCD

Answer:

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

Considering

… eq (i)

In ,

… eq (ii)

IN ,

… eq (iii)

In ,

… eq (iv)

Adding equations (i) , (ii) , (iii) , (iv)

Yes, the given expression is true.

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