Respuesta :

Answer:

y = sqrt(80) or 4*sqrt(5)

the proportion is y/8 = 10/y

Step-by-step explanation:

Complete the proportion:

y/8 = 10/y

This is done by dividing the hypotenuse of the first triangle over the leftmost leg, and equating this ratio to the second triangle with the corresponding side lengths.

Rearranging:

y^2 = 80

y = sqrt(80) --> 4*sqrt(5)