Question

A rectangular window in Jim's bedroom is 36 inches wide. The diagonal of the window is 44 inches. Which measurement is closest to the height of the window?

Answer 1

Answer:

The "width of the rectangular window" of the Jim's bedroom is closest to the height of the window

Step-by-step explanation:

Given:

Width of the rectangular window in Jim's bedroom =  36 inches

diagonal of the window  in Jim's bedroom = 44 inches

To Find:

Measurement is closest to the height of the window = ?

Solution:

Let us consider one half of the reactangle. refer the diagram.

Now we can use Pythagorean theorem to find the third sde of the triangle

$a^2 +b^2 = c^2$

here

a= 36

b = x

c = 44

$(36)^2 +x^2 = (44)^2$

$x^2 = (44)^2 -(36)^2$

$x = \sqrt{1936-1296}$

$x = \sqrt{640}$

x = 25.29

x= 25.3 (approx)

Height of the rectangle is 25.3 inches.