Question

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 1

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

Answer 2

Answer:

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.