Answer:
D
Step-by-step explanation:
This uses the Altitude- on- Hypotenuse theorem
An altitude drawn to the hypotenuse of a right triangle.
The 2 triangles formed are similar to the given triangle and each other, thus
Δ BAC ~ Δ BDA
The ratios of corresponding sides are equal, that is
[tex]\frac{BA}{BD}[/tex] = [tex]\frac{BC}{BA}[/tex] , substitute values
[tex]\frac{14}{x}[/tex] = [tex]\frac{30}{14}[/tex] ( cross- multiply )
30x = 196 ( divide both sides by 30 )
x ≈ 6.5 ( to the nearest tenth ) → D
