Triangle calculator SSS - result

Please enter the triangle sides:

Acute scalene triangle.

Sides: a = 15   b = 22   c = 25

Area: T = 163.6588180364
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 36.521123386° = 36°31'16″ = 0.63774157777 rad
Angle ∠ B = β = 60.79107880662° = 60°47'27″ = 1.06109994066 rad
Angle ∠ C = γ = 82.68879780737° = 82°41'17″ = 1.44331774692 rad

Height: ha = 21.82110907152
Height: hb = 14.87880163967
Height: hc = 13.09326544291

Median: ma = 22.32215142855
Median: mb = 17.43655957742
Median: mc = 14.08801278403

Inradius: r = 5.27992961408
Circumradius: R = 12.60224864471

Vertex coordinates: A[25; 0] B[0; 0] C[7.32; 13.09326544291]
Centroid: CG[10.77333333333; 4.3644218143]
Coordinates of the circumscribed circle: U[12.5; 1.60439528205]
Coordinates of the inscribed circle: I[9; 5.27992961408]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.479876614° = 143°28'44″ = 0.63774157777 rad
∠ B' = β' = 119.2099211934° = 119°12'33″ = 1.06109994066 rad
∠ C' = γ' = 97.31220219263° = 97°18'43″ = 1.44331774692 rad

How did we calculate this triangle?

1. The triangle circumference is the sum of the lengths of its three sides 2. Semiperimeter of the triangle 3. The triangle area using Heron's formula 4. Calculate the heights of the triangle from its area. 5. Calculation of the inner angles of the triangle using a Law of Cosines     