Answer: 13 inches by 13-√3 inches
Let
x-------> the length side of the TV
y-------> the width of the TV
d------> the diagonal of a TV
we know that
in a 30-60-90 right triangle
cos (30°) = √³/2
sin (30°) =1/2
d = 26 in
sin (30°) = ----> y = d * sin(30°)
cos (30°) = ----> x = d * cos (30°)
substitute the values
y = 26* = 13 in
x = 26³ = 13√√3 in
the length side of the TV is 13√3 in the width of the TV is 13 in
Answer: 13 inches by 13-√3 inches
I hope this helps! :)