# 23 25 30 triangle

### Acute scalene triangle.

Sides: a = 23   b = 25   c = 30

Area: T = 280.4399714693
Perimeter: p = 78
Semiperimeter: s = 39

Angle ∠ A = α = 48.39443462161° = 48°23'40″ = 0.84546406808 rad
Angle ∠ B = β = 54.36657656498° = 54°21'57″ = 0.9498861611 rad
Angle ∠ C = γ = 77.24398881341° = 77°14'24″ = 1.34880903618 rad

Height: ha = 24.38325838864
Height: hb = 22.43219771755
Height: hc = 18.69333143129

Median: ma = 25.10547804213
Median: mb = 23.62773147014
Median: mc = 18.76216630393

Inradius: r = 7.19897362742
Circumradius: R = 15.38798301996

Vertex coordinates: A[30; 0] B[0; 0] C[13.4; 18.69333143129]
Centroid: CG[14.46766666667; 6.2311104771]
Coordinates of the circumscribed circle: U[15; 3.39769364093]
Coordinates of the inscribed circle: I[14; 7.19897362742]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131.6065653784° = 131°36'20″ = 0.84546406808 rad
∠ B' = β' = 125.634423435° = 125°38'3″ = 0.9498861611 rad
∠ C' = γ' = 102.7660111866° = 102°45'36″ = 1.34880903618 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    