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

Question

asked Oct 8, 2023 183k views

1 Answer

Moneer Kamal · Answer 1 · 2023-10-12T23:50:59+0000

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:

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

Therefore, x=-6