Answer:
1). x = 81
2). x = 84
Step-by-step explanation:
1). By applying geometric mean theorem in the given triangle,
[tex]\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}[/tex]
56x = (18√14)²
56x = 4536
x = [tex]\frac{4536}{56}[/tex]
x = 81
2). By applying geometric mean theorem,
[tex]\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}[/tex]
16x = (8√21)²
16x = 1344
x = [tex]\frac{1344}{16}[/tex]
x = 84
