Question

Hi! Can someone help me please.

Answer 1

Explanation:

let the perpendicular length be l

`l = \sqrt{ {(45)}^(2) - {36}^(2) }`

`l = √(2025 - 1269)`

`l = √(729)`

`l = 27 \: \: inches`

Answer 2

27 inches

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