Question

Find the missing length indicated. Leave your answer in simplest radical form.

Answer 1

Answer:

1). x = 81

2). x = 84

Step-by-step explanation:

1). By applying geometric mean theorem in the given triangle,

   $\frac{x}{18\sqrt{14}}= \frac{18\sqrt{14}}{56}$

   56x = (18√14)²

   56x = 4536

   x = $\frac{4536}{56}$

   x = 81

2). By applying geometric mean theorem,

    $\frac{x}{8\sqrt{21}}= \frac{8\sqrt{21} }{16}$

    16x = (8√21)²

    16x = 1344

    x = $\frac{1344}{16}$

   x = 84