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Question Find the diagonal length of a rectangular painting with dimensions of 36 inches by 48 inches.(1 point) The length of t...Question
Find the diagonal length of a rectangular painting with dimensions of 36 inches by 48 inches.(1 point) The length of the diagonal is inches.
Answers
GPT-4o mini
To find the diagonal length of a rectangular painting, you can use the Pythagorean theorem. The formula for the diagonal \( d \) of a rectangle with width \( w \) and height \( h \) is:
\[
d = \sqrt{w^2 + h^2}
\]
For your painting, the dimensions are:
- Width \( w = 36 \) inches
- Height \( h = 48 \) inches
Now, plug these values into the formula:
\[
d = \sqrt{36^2 + 48^2}
\]
\[
d = \sqrt{1296 + 2304}
\]
\[
d = \sqrt{3600}
\]
\[
d = 60
\]
The length of the diagonal is \( 60 \) inches.
\[
d = \sqrt{w^2 + h^2}
\]
For your painting, the dimensions are:
- Width \( w = 36 \) inches
- Height \( h = 48 \) inches
Now, plug these values into the formula:
\[
d = \sqrt{36^2 + 48^2}
\]
\[
d = \sqrt{1296 + 2304}
\]
\[
d = \sqrt{3600}
\]
\[
d = 60
\]
The length of the diagonal is \( 60 \) inches.