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

Answer 1

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

Answer 2

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

Answer 3

There are three possible now.
Let's check again


\(\Large \color{MidnightBlue}{\Rightarrow 12 + 4 < 17 }\)
Not 12.

Answer 4

\(\Large \color{MidnightBlue}{\Rightarrow 4 + 5 < 17 }\)

Not 5 too..

Answer 5

is the answer 18

Answer 6

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.

Answer 7

Answer is 10.

Answer 8

oh thank you