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

You would use the pythagorean theorem to find the answer to this problem.
\[a^2 + 36^2 = 44^2\]The first step is to solve for the exponents.
36 squared is 1296
44 squared is 1936
The new equation is:
\[a^2 + 1296 = 1936\]Next, you subtract 1296 from both sides. This gives us:
\[a^2 = 640\]The final step is to find the square root on both sides.
\[\sqrt{a^2} = \sqrt{640}\]This gives us an answer of \[a \approx 25.29\]

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Answer 2

Thanks.