The lengths of two sides of

a triangle are 4 and 6.

Which measurement

cannot be the length of the

third side?

A) 6

C) 3

B) 4

D 2

Answer: D) 2

Step-by-step explanation:

The sum of two sides of a triangle must be greater than the third side

Let x represent the unknown side

Then 4 + 6 > x → x < 10

and 4 + x > 6 → x > 2

Therefore; 2 < x < 10

A) 6 is between 2 and 10

C) 3 is between 2 and 10

B) 4 is between 2 and 10

D) 2 is NOT between 2 and 10

D.

Step-by-step explanation:

For a triangle to be formed the length of any one of the sides must be less than the sum of the other 2.

So A can be a triangle as 6 is less than 6+4.

It is D because 6 = 4 + 2.