Answer:
x = 3√7
Step-by-step explanation:
From the right triangle given in the picture,
Altitude or height of the triangle (AD) = x
Base or hypotenuse of the given triangle (BC) = 16
Length of segment BD = 16 - 7 = 9
By using geometric mean theorem in the given triangle,
[tex]\frac{AD}{BD}=\frac{DC}{AD}[/tex]
(AD)² = (BD)(CD)
x² = 9×7
x = √63
x = 3√7
