Instruction: Let |AB|=1. Construct a point C on the ray AB such that the length of AC is equal to √3.

Goal: 3L 3E

Available tools:

• Move
• Point
• Line
• Circle
• Perpendicular Bisector
• Perpendicular
• Angle Bisector
• Intersect

Pack: Delta

Previous level: 4.6

Next level: 4.8

3L 3E solution

1. Construct the circle with center B and radius AB, intersecting the ray at D
2. Construct the circle with center D and radius BD, intersecting circle B at E
3. Construct the circle with center A and radius AE, intersecting the ray at C
4. Point at C

Explanation

• AB = 1 = BD, DE = 1