Need help finding the missing length to the attached triangle.

Answer:
x = 60
Step-by-step explanation:
All 3 right triangles are similar, thus ratios of corresponding sides are equal.
[tex]\frac{x}{144}[/tex] = [tex]\frac{25}{x}[/tex] ( cross- multiply )
x² = 3600 ( take the square root of both sides )
x = [tex]\sqrt{3600}[/tex] = 60