CALCULATOR
Triangle Side from Known Side and Opposite Angles Calculator
Triangle Side from Known Side and Opposite Angles. Example: Known side: 3 m, Known angle: 30 degrees, Target angle: 45 degrees gives 4.24264068712 m. Each supplied angle is1..89degrees so their sum is below180; no ambiguous SSA solution. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
Each supplied angle is1..89degrees so their sum is below180; no ambiguous SSA solution. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: The common circumdiameter gives equal side/sine ratios.
Accepted inputs: Known side: 0.001 to 10,000 m; Known angle: 1 to 89 degrees; Target angle: 1 to 89 degrees.
How the calculation works
target=known side sin(target angle)/sin(known angle)
Worked example
With known side 3 m, known angle 30 degrees, target angle 45 degrees, triangle side from known side and opposite angles is 4.242640687 m.
Assumptions and limits
Each supplied angle is1..89degrees so their sum is below180; no ambiguous SSA solution. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: The common circumdiameter gives equal side/sine ratios.