Using the construction in the figure (a unit added to a length x, semicircle on the total, perpendicular at the join), if the marked length on the base before the unit is 3 units, the perpendicular segment BD represents which number on the number line?

Question

Accepted Answer

√3. When BC = 1 unit and AB = 3 units, the perpendicular BD = √AB = √3. This is the geometric-mean construction for √ of a number.

Using the construction in the figure (a unit added to a length $x$ , semicircle on the total, perpendicular at the join), if the marked length on the base before the unit is 3 units, the perpendicular segment BD represents which number on the number line?

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