c = \sqrt{7^2 + 24^2} = \sqrt{49 + 576} = \sqrt{625} = 25
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- Question:** In a right triangle, the lengths of the legs are 7 units and 24 units. What is the length of the hypotenuse?
- By the Pythagorean theorem, the hypotenuse \(c\) is calculated as:
- Question:** A rectangle has a length that is twice its width. If the perimeter is 36 units, what is the area of the rectangle?
- 2(w + 2w) = 36 \implies 6w = 36 \implies w = 6
- The length is \(2 \times 6 = 12\).
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