use the pythagorean theorem to find the missing part of A


remove 64 on both sides
64-64+b^2=100-64
b^2=36
find the square root for 36

b=6
remember that for later
use Pythagorean theorem again to find the missing side for B


remove 64 both sides
a^2+64-64=289-64
a^2=225
find square root for 225

a=15
add the sides together
6 (b) + 15 (a) = 21