Respuesta :

Answer:

a = 5 c =11

Step-by-step explanation:

Answer:

sqrt[(80^2) + (20^2)] = (bottom base of the entire rectangle)

= 20(sqrt(17)) units or about 82.46211 units

find angle at bottom corner

arctan(20/80) = about 14.04624 degrees

cos(14.04624) = 20(sqrt17) / (80+a)

solve for a: --> a = 5 units

use pythag for side c

(20^2) + (5^2) = c^2

c is about 20.6155 units or 5(sqrt17)

Step-by-step example: