Use the Pythagorean theorem to find the length of the diagonal of a square that has an area of 289 square inches

(exact) or 24.0416 (decimal)

Step-by-step explanation:

find side length

since the area of a square is a = s^2, plug in 289 for a to find the side length

289 = s^2

s = 17

use pythagorean theorem

the Pythagorean theorem says that a^2 + b^2 = c^2 where a and b are perpendicular sides of a triangle, so a and b would be the side length of the square (a=b=17), and c would be the diagonal

so 17^2 + 17^2 = c^2

578  = c^2

c = ≈24.0416

final answer

exact =

decimal = 24.0416

the answer is y = 11.54

hope this : )