Question

1. In each of the following there are three positive numbers. statement if these numbers could
be the possible lengths (in cms) of the sides of a triangle.
(i) 4, 5, 6

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Answer 1

Answer:

In each of the following, there are three positive numbers. State if these numbers could possibly be the lengths of the sides of a triangle:

(I) 7,6,9

(ii). 2,10,15,3,4,5

(iii) 2,5,7,5,7,8

Answer 2

Answer:

no, it never makes triangle

Step-by-step explanation:

For a set of three numbers to be pythagorean,

the square of the largest number should be equal to sum of the squares of other two.

Here among

4

,

5

and

6

,

6

is largest whose square is

36

and sum of squares of other two numbers is

4

2

+

5

2

=

16

+

25

=

41

, which is more than

36

Hence

4

,

5

and

6

are not pythagorean triple.