# Triangle calculator SSS - result

Please enter the triangle sides:

### Acute scalene triangle.

Sides: a = 12   b = 23   c = 25

Area: T = 137.4777270849
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 28.56767204538° = 28°34' = 0.49985833284 rad
Angle ∠ B = β = 66.42218215218° = 66°25'19″ = 1.15992794807 rad
Angle ∠ C = γ = 85.01114580244° = 85°41″ = 1.48437298444 rad

Height: ha = 22.91328784748
Height: hb = 11.95545452912
Height: hc = 10.99881816679

Median: ma = 23.25994066992
Median: mb = 15.88223801743
Median: mc = 13.42657215821

Inradius: r = 4.5832575695
Circumradius: R = 12.54875286886

Vertex coordinates: A[25; 0] B[0; 0] C[4.8; 10.99881816679]
Centroid: CG[9.93333333333; 3.6666060556]
Coordinates of the circumscribed circle: U[12.5; 1.09110894512]
Coordinates of the inscribed circle: I[7; 4.5832575695]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.4333279546° = 151°26' = 0.49985833284 rad
∠ B' = β' = 113.5788178478° = 113°34'41″ = 1.15992794807 rad
∠ C' = γ' = 94.98985419756° = 94°59'19″ = 1.48437298444 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    