Quadrilateral Construction Challenge
Construct a quadrilateral when two diagonals and three sides are given using circle intersections.
Construction Problem
Given Information:
Diagonal AC: 6.0 units
Diagonal BD: 5.0 units
Side AB: 4.0 units
Side BC: 3.5 units
Side CD: 4.5 units
Construction Steps:
- 1. Draw diagonal AC at the given length
- 2. Find point B using circle intersections from A and C
- 3. Locate point D using the second diagonal constraint
- 4. Verify all given side lengths are satisfied
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Time
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Hints Used
1
Attempt
Progress
Click to start construction
How to Construct
Basic Method:
- • Use the Point tool to create vertices
- • Use the Circle tool to create construction circles
- • Use intersections to find exact positions
- • Connect vertices with the Segment tool
Advanced Tips:
- • Start with the longer diagonal as the base
- • Use circle intersections for precise construction
- • Check distances using the Distance tool
- • Hide construction lines for a clean result