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To construct ( \sqrt{5} ) on the number line, what is the hypotenuse of a right triangle with perpendicular sides (2) and (1)?संख्या रेखा पर ( \sqrt{5} ) बनाने के लिए (2) और (1) लंबाई वाली समकोण भुजाओं का कर्ण क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \sqrt{5} )( \sqrt{5} )
By Pythagoras, the hypotenuse is ( \sqrt{2^2+1^2}=\sqrt{5} ). Right triangles help in square-root construction.पायथागोरस से कर्ण ( \sqrt{2^2+1^2}=\sqrt{5} ) होगा। वर्गमूल निर्माण में समकोण त्रिभुज उपयोगी है।
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