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
[tex]a^2 +b^2 = c^2[/tex]
here
a= 36
b = x
c = 44
[tex](36)^2 +x^2 = (44)^2[/tex]
[tex]x^2 = (44)^2 -(36)^2[/tex]
[tex]x = \sqrt{1936-1296}[/tex]
[tex]x = \sqrt{640}[/tex]
x = 25.29
x= 25.3 (approx)
Height of the rectangle is 25.3 inches.
