# What is the length of side BC of the triangle? Explain how you arrived at your answer.

Dec 27, 2016

$B C = 28$

#### Explanation:

By the image, $A C = A B$, meaning $2 x + 7 = 4 x - 7$. Solving for $x$, we get

$2 x + 7 = 4 x - 7$

$\implies 2 x = 14$

$\implies x = 7$

Thus $B C = 4 x = 4 \left(7\right) = 28$