A triangle has the following measurements. What is a possible length for the third side?

AB = 4, BC = 17, CA = ?
A)5
B) 10
C) 12
D) 18

Question

A triangle has the following measurements. What is a possible length for the third side? 

AB = 4, BC = 17, CA = ?
 A)5
B) 10
C) 12
D) 18

parthkohli · Answer

$\Large \color{MidnightBlue}{\Rightarrow a + b > c }$

parthkohli · Answer

$\Large \color{MidnightBlue}{\Rightarrow 4 + 17 > CA }$

parthkohli · Answer

There are three possible now. 
Let's check again


$\Large \color{MidnightBlue}{\Rightarrow 12 + 4 < 17 }$
Not 12.

parthkohli · Answer

$\Large \color{MidnightBlue}{\Rightarrow 4 + 5 < 17 }$

Not 5 too..

anonymous · Answer

is the answer 18

parthkohli · Answer

The basic theorem is, if three sides are a,b and c, then the sum of any two sides must be greater than the third.

parthkohli · Answer

Answer is 10.

anonymous · Answer

oh thank you