Question

Find the length of a diagonal of a 4 m × 12 m rectangle.

Solid Geometry
ANSWERED
asked 2021-05-28

Find the length of a diagonal of a \(4 m \times 12 m\) rectangle.

Answers (1)

2021-05-29
If d is the diagonal of the rectangle, then it is the hypotenuse of the right triangle formed. So, by Pythagorean Theorem,
\(\displaystyle{d}^{{2}}={4}^{{2}}+{12}^{{2}}\)
\(\displaystyle{d}^{{2}}={16}+{144}\)
\(\displaystyle{d}^{{2}}={160}\)
\(\displaystyle{d}=\sqrt{{160}}\)
\(\displaystyle{d}={4}\sqrt{{10}}\sim{12.6}{m}\)
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