Triangle Information
📊 Side Ratios
| Sides | Ratio |
|---|---|
| AB / DE | 1.50 |
| BC / EF | 1.50 |
| AC / DF | 1.50 |
🔍 Discovery
Drag the vertices of the triangles to change their size while keeping the angles the same.
Watch how the ratios of corresponding sides change (or don't change!).
What do you notice about the ratios?
📊 Ratio Analysis
Examine the table on the left to see all corresponding side ratios.
💡 Interactive Features:
- • Click any row to highlight corresponding sides
- • Click the same row again to clear highlights
- • Double-click any row to clear all highlights
The fundamental theorem: In equiangular triangles, the ratio of any two corresponding sides is constant.
📝 Visual Proof
This mode shows why the ratios must be equal through visual transformations.
The proof uses the fact that equiangular triangles are similar, and similarity preserves ratios.
🎯 Practice Problem
📐 Similar Triangles Problem
Look at the triangles in the visualization. Use the similarity ratio to find the missing side length.
Given Information:
• Triangle ABC ~ Triangle DEF (similar triangles)
• AB = 6 units
• DE = 4 units
• BC = 8 units
💡 20 Problems Total: Easy (1-6), Medium (7-13), Hard (14-20). Each restart generates a new random sequence for unlimited practice!