Respuesta :

Answer:

AB = 25

Step-by-step explanation:

First things first, we know that these triangles are similar. Now let's find BC using the Pythagorean Theorem. BC = [tex]5\sqrt5[/tex], this side is similar to the 5 side of the smaller triangle. That means each side of the larger triangle [tex]\sqrt5[/tex] times larger than the corresponding side on the small triangle. That means AB is [tex]\sqrt5[/tex] times larger than BC as well. So multiply BC by [tex]\sqrt5[/tex] get us the answer.