Question

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

Answer 1

See below.

Explanation:

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

`(AB)/(AC) = (AC)/(AD)`

`(AB)/(x) = (x)/(AD)`

`(25)/(x) = (x)/(16)`

`x^2 = 25 * 16`

`x = 20`

AC = 20 cm

`(AB)/(CB) = (CB)/(DB)`

`(AB)/(y) = (y)/(DB)`

`(25)/(y) = (y)/(9)`

`y^2 = 25 * 9`

`y = 15`

CB = 15 cm