Question

find x if AC=15 , AB=x+14 , and BC= x+13

Answer 1

Given the information, we have the following:

Now, since AC=15, we have the following expression:

$\begin{gathered} AB+BC=AC \\ \Rightarrow(x+14)+(x+13)=15 \end{gathered}$

Solving for x we get:

$\begin{gathered} (x+14)+(x+13)=15 \\ \Rightarrow2x=15-14-13=-12 \\ \Rightarrow2x=-12 \\ \Rightarrow x=\frac{-12}{2}=-6 \\ x=-6 \end{gathered}$

Therefore, x=-6