# The triangles are similar. What is the value of x? x =

Jan 18, 2018

Understand similarity’s definition

#### Explanation:

So by definition
$\frac{36}{12} = \frac{15}{5} = \frac{39}{x - 10}$
Now solve for x
$\frac{39}{x - 10} = \frac{36}{12} = \frac{15}{5} = 3$
Hence $\frac{13}{x - 10} = 1$
Therefore $x = 23$
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