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