CALCULATOR
Isosceles Triangle Height from Half Base and Leg Clearance Calculator
Isosceles Triangle Height from Half Base and Leg Clearance. Example: Half base: 2 m, Leg clearance: 1 m gives 2.2360679775 m. Positive leg clearance ensures a real nondegenerate isosceles triangle; base=2half-base, equal legs=half-base+clearance. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
Positive leg clearance ensures a real nondegenerate isosceles triangle; base=2half-base, equal legs=half-base+clearance. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Equal leg=half-base+clearance; factor leg²-half-base².
Accepted inputs: Half base: 0.001 to 10,000 m; Leg clearance: 0.001 to 10,000 m.
Isosceles Triangle Height from Half Base and Leg Clearance
How the calculation works
h=√(clearance(2 half-base+clearance))
Worked example
With half base 2 m, leg clearance 1 m, isosceles triangle height from half base and leg clearance is 2.236067977 m.
Assumptions and limits
Positive leg clearance ensures a real nondegenerate isosceles triangle; base=2half-base, equal legs=half-base+clearance. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Equal leg=half-base+clearance; factor leg²-half-base².