Law of Sines Explorer

Drag the triangle vertices to see how side lengths and angles affect the Law of Sines calculations

Interactive Triangle

Side a (opposite A)
0.0
Side b (opposite B)
0.0
Side c (opposite C)
0.0
Angle A
0.0°
Angle B
0.0°
Angle C
0.0°

Law of Sines

The Law of Sines states:
a / sin(A) = b / sin(B) = c / sin(C)

Ratio Calculations

a / sin(A)
0.0 / 0.000 = 0.00
b / sin(B)
0.0 / 0.000 = 0.00
c / sin(C)
0.0 / 0.000 = 0.00

✨ Notice

All three ratios are equal! This relationship holds true for ANY triangle. Try dragging the vertices to create different triangles and watch the ratios stay equal.

💡 How to Use

  • • Drag any vertex (A, B, C) to reshape the triangle
  • • Watch how side lengths and angles change
  • • Observe that all three ratios remain equal
  • • Each color connects angles to their opposite sides