Right Triangle Solutions Calculator

This calculator will determine the unknown length, angle or slope of a given right angle triangle. Simply enter in the unknown value and and click "Update" button located at the bottom of the web page.

Equations for Law of Sines, Pythagoren Therem, Isoceles Right Triangle, and Area of Triangle is given at the bottom to hter web page.

RIGHT TRIANGLE SOLUTIONS:

Note: Input and results strictly adhere to
?????????????????? side and angle nomenclature above.

Input:
Results:
a b
c LA LB LC % Slope Area
a c
b LA LB LC % Slope Area
b c
a LA LB LC % Slope Area
a LA
b c LB LC % Slope Area
a LB
b c LA LC % Slope Area
b LA
a c LB LC % Slope Area
b LB
a c LA LC % Slope Area
c LA
a b LB LC % Slope Area
c LB
a b LA LC % Slope Area
Law of Sines:
a/SIN(LA) = b/SIN(LB) = c/SIN(LC)
Law of Cosines:
a2 = b2 + c2 - 2*b*c*COS(LA)
b2 = a2 + c2 - 2*a*c*COS(LB)
c2 = a2 + b2 - 2*a*b*COS(LC)
Pythagorean Theorem for Right Triangle:
a2 + b2 = c2
Isoceles Right Triangle:
LA = 45 deg.?? ,?? LB = 45 deg.?? ,?? and?? LC = 90 deg.
a = b?? ,?? and?? c = SQRT(2)*a
30-60-90 Right Triangle:
LA = 30 deg.?? , ??LB = 60 deg.?? ,?? and?? LC = 90 deg.
b = SQRT(3)*a?? ,?? and?? c = 2*a
?? or:
LA = 60 deg.?? , ??LB = 30 deg.?? ,?? and?? LC = 90 deg.
a = SQRT(3)*b?? ,?? and?? c = 2*b
Area of Triangle:
Area = a*c*SIN(LB)/2 = b*c*SIN(LA)/2 = a*b*SIN(LC)/2