# 20 23 30 triangle

### Acute scalene triangle.

Sides: a = 20   b = 23   c = 30

Area: T = 229.8865705297
Perimeter: p = 73
Semiperimeter: s = 36.5

Angle ∠ A = α = 41.78548536525° = 41°47'5″ = 0.72992832737 rad
Angle ∠ B = β = 50.02215081864° = 50°1'17″ = 0.87330400147 rad
Angle ∠ C = γ = 88.19436381611° = 88°11'37″ = 1.53992693652 rad

Height: ha = 22.98985705297
Height: hb = 19.99900613302
Height: hc = 15.32657136865

Median: ma = 24.78991105125
Median: mb = 22.7544120506
Median: mc = 15.47657875405

Inradius: r = 6.29882385013
Circumradius: R = 15.00774577083

Vertex coordinates: A[30; 0] B[0; 0] C[12.85; 15.32657136865]
Centroid: CG[14.28333333333; 5.10985712288]
Coordinates of the circumscribed circle: U[15; 0.47330611669]
Coordinates of the inscribed circle: I[13.5; 6.29882385013]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.2155146347° = 138°12'55″ = 0.72992832737 rad
∠ B' = β' = 129.9788491814° = 129°58'43″ = 0.87330400147 rad
∠ C' = γ' = 91.80663618389° = 91°48'23″ = 1.53992693652 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.