NCERT Class 7 Mathematics Solutions: Chapter 6 –The Triangle and its Properties Exercise 6.4 Part 2

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Given median of an acute triangle, median of an obtuse trian …

Given Median of an Acute and an Obtuse Triangle

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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.