12 23 25 triangle

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

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?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. 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    