Question

What did this person do wrong? Honestly really stuck and do not remember geometry!

Answer 1

Answer:

See below.

Step-by-step explanation:

Using the right triangle altitude theorem, the correct proportions are:

$\dfrac{AB}{AC} = \dfrac{AC}{AD}$

$\dfrac{AB}{x} = \dfrac{x}{AD}$

$\dfrac{25}{x} = \dfrac{x}{16}$

$x^2 = 25 \times 16$

$x = 20$

AC = 20 cm

$\dfrac{AB}{CB} = \dfrac{CB}{DB}$

$\dfrac{AB}{y} = \dfrac{y}{DB}$

$\dfrac{25}{y} = \dfrac{y}{9}$

$y^2 = 25 \times 9$

$y = 15$

CB = 15 cm