Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no. Explain.

6, 9, 16

Question

Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no. Explain.
 
6, 9, 16

sidsiddhartha · Answer

general rule is
Each PAIR of sides must have a sum
that is GREATER than the 3rd side.

anonymous · Answer

@sidsiddhartha  so i would have to add 6+9?

sidsiddhartha · Answer

yup addition of 6 and 9 produces 15 which is less than the third side16 so triangle is not possible

anonymous · Answer

@sidsiddhartha  so i always have to add the first two numbers?

sidsiddhartha · Answer

yes

sidsiddhartha · Answer

if the addition is greater than third side then triangle will be possible
take this example
 2,3,4
so first two sides are 2 and 3
2+3=5 
and it is greater than 4
so in this case triangle will be possible

anonymous · Answer

I believe you have to check all three combinations, since the theorem states " The sum of any two sides of a triangle is greater than the length of the third side.