$\triangle abc$ and $\triangle dbc$ share $bc$. $ab = 5\ \text{cm}$, $ac = 12\ \text{cm}$, $dc = 8\ \text{cm}$, and $bd = 20\ \text{cm}$. what is the least possible integral number of centimeters in $bc$?
What terms govern the length of this side?The basic rule of the triangle.First side length must be less than the sum of the other two sides.So to find X we must take the largest side of the triangles and compare them with amounts from other sides.
5+x>12 8+x>20 and it's system
x>7 x>12 general solution is x>12 The least possible integral is 13.
PS: It's may be yet 12, but in this case, triangle BCD become segment.
