Triangle calculator - result


Please enter what you know about the triangle:

You have entered side a, median mc and angle β.

Triangle has two solutions: a=7; b=4.61096016282; c=6.36437138795 and a=7; b=10.71438515788; c=15.08655305278.

#1 Acute scalene triangle.

Sides: a = 7   b = 4.61096016282   c = 6.36437138795

Area: T = 14.31768075168
Perimeter: p = 17.97333155077
Semiperimeter: s = 8.98766577539

Angle ∠ A = α = 77.45328590336° = 77°27'10″ = 1.35218074052 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 62.54771409664° = 62°32'50″ = 1.09216535476 rad

Height: ha = 4.09105164334
Height: hb = 6.21217331048
Height: hc = 4.54995132678

Median: ma = 4.3155395782
Median: mb = 6.28798344228
Median: mc = 5

Inradius: r = 1.59331181435
Circumradius: R = 3.58656335426

Vertex coordinates: A[6.36437138795; 0] B[0; 0] C[5.36223111018; 4.54995132678]
Centroid: CG[3.90986749938; 1.54998377559]
Coordinates of the circumcenter: U[3.18218569398; 1.65330439549]






#2 Obtuse scalene triangle.

Sides: a = 7   b = 10.71438515788   c = 15.08655305278

Area: T = 33.93987723808
Perimeter: p = 32.79993821066
Semiperimeter: s = 16.43996910533

Angle ∠ A = α = 24.8332793774° = 24°49'58″ = 0.43334140138 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 115.1677206226° = 115°10'2″ = 2.0110046939 rad

Height: ha = 9.69767921088
Height: hb = 6.3355494221
Height: hc = 4.54995132678

Median: ma = 12.60767411919
Median: mb = 10.46985224239
Median: mc = 5

Inradius: r = 2.06994763255
Circumradius: R = 8.33438970893

Vertex coordinates: A[15.08655305278; 0] B[0; 0] C[5.36223111018; 4.54995132678]
Centroid: CG[6.81659472099; 1.54998377559]
Coordinates of the circumcenter: U[7.54327652639; -3.54440842073]

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