The lengths of the sides of a triangle are 12, 13, and n. Which of the following must be true?

n≥1
n

Question

The lengths of the sides of a triangle are 12, 13, and n. Which of the following must be true? 

n≥1
n<13
1<n<13
1<n<25

jack_prism · Answer

b

anonymous · Answer

Awesome! how do you know?

campbell_st · Answer

the solution has 2 considerations... 

1. what if  n a shorter side...  what conditions must be met

2. what if n is the longest side...what conditions must be met

welshfella · Answer

the sum of any 2 sides  must be greater than the other side

so for example the other side cannot be 1
beacuse 13 = 12 + 1 = 13

welshfella · Answer

- that would be a straight line!

imqwerty · Answer

the sum of any 2 sides of a triangle is greater than the third side so n+12>13 n>1 13+12>n 25>n so n lies in the range - 1

campbell_st · Answer

lol... someone always gives the answer

welshfella · Answer

yep!!

imqwerty · Answer

:)

anonymous · Answer

That actually makes sense thank you! @imqwerty

welshfella · Answer

tdeally   we should guide the user to the answer..

imqwerty · Answer

welcome @mickey1513

anonymous · Answer

and thank you as well @welshfella & @campbell_st

welshfella · Answer

yw