Question

.Which of the following cannot be the side of a triangle?

a) 2,4,6 b) 3,4,5 c) 5,12,13 d) 8 , 15 ,17​

Answer 1

(a)2,4,6 because 2²+4² is not equal to 6²

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following cannot be the side of a triangle

a) 2,4,6

b) 3,4,5

c) 5,12,13

d) 8 , 15 ,17

CONCEPT TO BE IMPLEMENTED

CONDITION FOR TRIANGLE

The sum of the length of any two sides of a triangle is greater than the length of the third side

EVALUATION

CHECKING FOR OPTION (a)

Here the given sides are 2 , 4 , 6

Since 2 + 4 = 6

So the given measures can not be sides of a triangle

CHECKING FOR OPTION (b)

Here the given sides are 3 , 4 , 5

Since 3 + 4 > 5

So the given measures can be sides of a triangle

CHECKING FOR OPTION (c)

Here the given sides are 5 , 12 , 13

Since 5 + 12 > 13

So the given measures can be sides of a triangle

CHECKING FOR OPTION (d)

Here the given sides are 8 , 15 , 17

Since 8 + 15 > 17

So the given measures can be sides of a triangle

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