# 23 28 30 triangle

### Acute scalene triangle.

Sides: a = 23   b = 28   c = 30

Area: T = 304.9977438514
Perimeter: p = 81
Semiperimeter: s = 40.5

Angle ∠ A = α = 46.56774634422° = 46°34'3″ = 0.81327555614 rad
Angle ∠ B = β = 62.13549067337° = 62°8'6″ = 1.08444587029 rad
Angle ∠ C = γ = 71.29876298241° = 71°17'51″ = 1.24443783893 rad

Height: ha = 26.52215163925
Height: hb = 21.78655313224
Height: hc = 20.33331625676

Median: ma = 26.64111336095
Median: mb = 22.77105950735
Median: mc = 20.77325780778

Inradius: r = 7.5310800951
Circumradius: R = 15.83661985712

Vertex coordinates: A[30; 0] B[0; 0] C[10.75; 20.33331625676]
Centroid: CG[13.58333333333; 6.77877208559]
Coordinates of the circumscribed circle: U[15; 5.07879114984]
Coordinates of the inscribed circle: I[12.5; 7.5310800951]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.4332536558° = 133°25'57″ = 0.81327555614 rad
∠ B' = β' = 117.8655093266° = 117°51'54″ = 1.08444587029 rad
∠ C' = γ' = 108.7022370176° = 108°42'9″ = 1.24443783893 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.