d = \sqrt{12^2 + 5^2} = \sqrt{144 + 25} = \sqrt{169}
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- A rectangle has a length of 12 cm and a width of 5 cm. A right triangle is formed by drawing a diagonal across the rectangle. Find the length of the diagonal.
- Use the Pythagorean theorem: \( d = \sqrt{l^2 + w^2} \).
- Substitute the length and width: \( l = 12 \) cm, \( w = 5 \) cm.
- Calculate the square root:
- d = 13 ext{ cm}
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