Respuesta :

Answer:

AB = 25 units

Step-by-step explanation:

In right triangle ACB, [tex] CD\perp AB[/tex]

Therefore, by geometric mean property:

[tex]CD^{2} ={AD\times DB} \\ \\ {10}^{2} = AD\times 5 \\ \\ 100 = 5AD \\ \\ AD = \frac{100}{5} \\ \\ AD = 20[/tex]

AB = AD + DB

AB = 20 + 5

AB = 25 units