NCERT Class 7 Mathematics Solutions: Chapter 6 – the Triangle and Its Properties Exercise 6.4 Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Understanding of Exterior Angle and Interior Angles

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

, Yes

This triangle is not possible.

(ii)

, Yes

, Yes

, Yes

This triangle is possible.

(iii)

, Yes

, Yes

, No

This triangle is not possible.

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

PQR Triangle Are Given

(i) ?

(ii) ?

(iii) ?

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

Answer:

Join

Triangle PQR Join or, OQ and OP

(i) Is ?

Yes, POQ form a triangle.

(ii) Is ?

Yes, RQO form a triangle.

(iii) Is ?

Yes, from a triangle.