Respuesta :

wegnerkolmp2741o

Answer:

27 inches

Step-by-step explanation:

We are using the Pythagorean theorem

a^2 +b^2 = c^2  where c is the hypotenuse

We are given the diagonal, which is the hypotenuse and a leg

36^2 + b^2 = 45^2

Subtract 36^2 from each side

36^2 + b^2 - 36^2 = 45^2 - 36^2

b^2 = 45^2 - 36^2

     b^2 =2025-1296

          b^2 =729

Take the square root of each side

sqrt(b^2) = sqrt(729)

b =27

Wallind11

Step-by-step explanation:

let the perpendicular length be l

[tex]l = \sqrt{ {(45)}^{2} - {36}^{2} } [/tex]

[tex]l = \sqrt{2025 - 1269} [/tex]

[tex]l = \sqrt{729} [/tex]

[tex]l = 27 \: \: inches[/tex]