# 7 20 22 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 20   c = 22

Area: T = 69.45109719154
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 18.40222461959° = 18°24'8″ = 0.32111797859 rad
Angle ∠ B = β = 64.41769980226° = 64°25'1″ = 1.12442887097 rad
Angle ∠ C = γ = 97.18107557815° = 97°10'51″ = 1.6966124158 rad

Height: ha = 19.8433134833
Height: hb = 6.94550971915
Height: hc = 6.31437247196

Median: ma = 20.73304124416
Median: mb = 12.90334879006
Median: mc = 10.17334949747

Inradius: r = 2.83547335476
Circumradius: R = 11.08769578749

Vertex coordinates: A[22; 0] B[0; 0] C[3.02327272727; 6.31437247196]
Centroid: CG[8.34109090909; 2.10545749065]
Coordinates of the circumscribed circle: U[11; -1.38658697344]
Coordinates of the inscribed circle: I[4.5; 2.83547335476]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 161.5987753804° = 161°35'52″ = 0.32111797859 rad
∠ B' = β' = 115.5833001977° = 115°34'59″ = 1.12442887097 rad
∠ C' = γ' = 82.81992442185° = 82°49'9″ = 1.6966124158 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.