Discussion
One side of a rectangular field is 4 m and its length along diagonal is 5 m. What is the area of the field?
Answer: A
The diagonal, the given side and the unknown side form a right triangle.
\[ \text{other side} = \sqrt{5^{2} - 4^{2}} = \sqrt{25 - 16} = 3 \text{ m} \]
\[ A = 4 \times 3 = 12 \text{ m}^{2} \]
3–4–5 is the smallest Pythagorean triple. Multiplying the given side by the diagonal would give 20 - the diagonal is not a side of the rectangle.
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