NCERT Class 7 Mathematics Solutions: Chapter 6 –The Triangle and its Properties Exercise 6.4 Part 1

1. Is it possible to have a triangle with the following sides?

(i)

(ii)

(iii)

Answer:

A triangle is possible whose sum of the lengths of any two sides would be greater than the length of third side.

(i)

, No

, Yes

This triangle is not possible.

(ii)

, Yes

This triangle is possible.

(iii)

, Yes

, No

This triangle is not possible.

2. Take any point O in the interior of a triangle PQR. Is:

PQR Triangle Are Given

Triangle PQR, O is mid-point

(i) ?

(ii) ?

(iii) ?

Since, sum of two sides is greater than third side.

Answer:

Join

Triangle PQR Join or, OQ and OP

Triangle PQR which is joining each other

(i) Is ?

Yes, POQ form a triangle.

(ii) Is ?

Yes, RQO form a triangle.

(iii) Is ?

Yes, from a triangle.