# 22 29 30 triangle

### Acute scalene triangle.

Sides: a = 22   b = 29   c = 30

Area: T = 300.786553406
Perimeter: p = 81
Semiperimeter: s = 40.5

Angle ∠ A = α = 43.74658710599° = 43°44'45″ = 0.76435094841 rad
Angle ∠ B = β = 65.70994748682° = 65°42'34″ = 1.14768466862 rad
Angle ∠ C = γ = 70.54546540718° = 70°32'41″ = 1.23112364832 rad

Height: ha = 27.344413946
Height: hb = 20.74438299352
Height: hc = 20.05223689374

Median: ma = 27.3776997644
Median: mb = 21.94988040676
Median: mc = 20.91765006634

Inradius: r = 7.42768033101
Circumradius: R = 15.90883448443

Vertex coordinates: A[30; 0] B[0; 0] C[9.05; 20.05223689374]
Centroid: CG[13.01766666667; 6.68441229791]
Coordinates of the circumscribed circle: U[15; 5.29986258298]
Coordinates of the inscribed circle: I[11.5; 7.42768033101]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.254412894° = 136°15'15″ = 0.76435094841 rad
∠ B' = β' = 114.2910525132° = 114°17'26″ = 1.14768466862 rad
∠ C' = γ' = 109.4555345928° = 109°27'19″ = 1.23112364832 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.