# 23 25 28 triangle

### Acute scalene triangle.

Sides: a = 23   b = 25   c = 28

Area: T = 272.2133151776
Perimeter: p = 76
Semiperimeter: s = 38

Angle ∠ A = α = 51.05551964059° = 51°3'19″ = 0.89110812775 rad
Angle ∠ B = β = 57.7132936368° = 57°42'47″ = 1.00772807606 rad
Angle ∠ C = γ = 71.23218672261° = 71°13'55″ = 1.24332306154 rad

Height: ha = 23.67107088501
Height: hb = 21.77770521421
Height: hc = 19.44437965555

Median: ma = 23.92217474278
Median: mb = 22.36662692463
Median: mc = 19.51992212959

Inradius: r = 7.16435039941
Circumradius: R = 14.78662069622

Vertex coordinates: A[28; 0] B[0; 0] C[12.28657142857; 19.44437965555]
Centroid: CG[13.42985714286; 6.48112655185]
Coordinates of the circumscribed circle: U[14; 4.75773013704]
Coordinates of the inscribed circle: I[13; 7.16435039941]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128.9454803594° = 128°56'41″ = 0.89110812775 rad
∠ B' = β' = 122.2877063632° = 122°17'13″ = 1.00772807606 rad
∠ C' = γ' = 108.7688132774° = 108°46'5″ = 1.24332306154 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 ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.