The figure shows a right triangle OAB with OA = 1 unit along the number line and AB = 1 unit perpendicular to it. An arc is drawn from B with centre O, cutting the line at point C. What number does C represent?

Question

Accepted Answer

√2. OB = √OA^2 + AB^2 = √1 + 1 = √2. The arc centred at O with radius OB cuts the line at C = √2.

The figure shows a right triangle OAB with OA = 1 unit along the number line and AB = 1 unit perpendicular to it. An arc is drawn from B with centre O, cutting the line at point C. What number does C represent?

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