Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c.

Obtuse scalene triangle.

Sides: a = 38   b = 62   c = 80

Area: T = 1144.72770417
Perimeter: p = 180
Semiperimeter: s = 90

Angle ∠ A = α = 27.48993341573° = 27°29'22″ = 0.48797793902 rad
Angle ∠ B = β = 48.86604895851° = 48°51'38″ = 0.85327764174 rad
Angle ∠ C = γ = 103.6550176258° = 103°39'1″ = 1.8099036846 rad

Height: ha = 60.24987916684
Height: hb = 36.92766787645
Height: hc = 28.61881760425

Median: ma = 69
Median: mb = 54.41550714417
Median: mc = 32.31109888428

Inradius: r = 12.71991893522
Circumradius: R = 41.16326512553

Vertex coordinates: A[80; 0] B[0; 0] C[25; 28.61881760425]
Centroid: CG[35; 9.53993920142]
Coordinates of the circumscribed circle: U[40; -9.71441061536]
Coordinates of the inscribed circle: I[28; 12.71991893522]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.5110665843° = 152°30'38″ = 0.48797793902 rad
∠ B' = β' = 131.1439510415° = 131°8'22″ = 0.85327764174 rad
∠ C' = γ' = 76.35498237424° = 76°20'59″ = 1.8099036846 rad

How did we calculate this triangle?

1. Input data entered: side a, b and c. 2. The triangle circumference is the sum of the lengths of its three sides 3. Semiperimeter of the triangle 4. The triangle area using Heron's formula 5. Calculate the heights of the triangle from its area. 6. Calculation of the inner angles of the triangle using a Law of Cosines     