Length of a diagonal of a rectangle with length 4 cm and width 3 cm is ________.

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{"content":[{"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 1 (Setup right-angled triangle):"},{"text":" A rectangle of length ","type":"text"},{"attrs":{"latex":"L = 4"},"type":"math_inline"},{"text":" cm and width ","type":"text"},{"type":"math_inline","attrs":{"latex":"W = 3"}},{"text":" cm is bisected by its diagonal ","type":"text"},{"attrs":{"latex":"d"},"type":"math_inline"},{"text":" into two identical right-angled triangles.","type":"text"}],"type":"paragraph"},{"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 2 (Apply Pythagorean Theorem):"},{"text":" In the right-angled triangle formed by the length, width, and diagonal (hypotenuse):","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"d^2 = L^2 + W^2"},"type":"math_block"},{"attrs":{"latex":"d^2 = 4^2 + 3^2 = 16 + 9 = 25"},"type":"math_block"},{"attrs":{"latex":"d = \sqrt{25} = 5 \text{ cm}"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 3 (Conclusion):","type":"text"},{"text":" The length of the diagonal of the rectangle is exactly ","type":"text"},{"type":"text","marks":[{"type":"code"}],"text":"5"},{"type":"text","text":" cm."}],"type":"paragraph"}],"type":"doc"}

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