Further, for a given set of lengths, is it possible to identify which lengths. Class 7

Further, for a given set of lengths, is it possible to identify which lengths. Class 7

Question 1.

Further, for a given set of lengths, is it possible to identify which lengths will immediately be less than the sum of the other two, without calculations? Class 7

[Hint : Consider the direct lengths in the increasing order.]

Solution:

The smallest of the three lengths.

Question 2.

Given three side-lengths, what do we need to compare to check for the existence of a triangle? Class 7

Solution:

Each side-lengths must be less than the sum of the other two side-lengths.

Question 3.

Why do we not need to check the other two sides? Class 7

Solution:

Because out of 4 cm, 5 cm and 8 cm; 8 cm is the longest.