# 12 22 27 triangle

### Obtuse scalene triangle.

Sides: a = 12   b = 22   c = 27

Area: T = 129.5622484925
Perimeter: p = 61
Semiperimeter: s = 30.5

Angle ∠ A = α = 25.8644052825° = 25°51'51″ = 0.45114128797 rad
Angle ∠ B = β = 53.10879943014° = 53°6'29″ = 0.92769093597 rad
Angle ∠ C = γ = 101.0287952874° = 101°1'41″ = 1.76332704142 rad

Height: ha = 21.59437474875
Height: hb = 11.77884077205
Height: hc = 9.59772211056

Median: ma = 23.8855141825
Median: mb = 17.76223196683
Median: mc = 11.47882402832

Inradius: r = 4.24879503254
Circumradius: R = 13.75439813398

Vertex coordinates: A[27; 0] B[0; 0] C[7.20437037037; 9.59772211056]
Centroid: CG[11.40112345679; 3.19990737019]
Coordinates of the circumscribed circle: U[13.5; -2.63109699154]
Coordinates of the inscribed circle: I[8.5; 4.24879503254]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.1365947175° = 154°8'9″ = 0.45114128797 rad
∠ B' = β' = 126.8922005699° = 126°53'31″ = 0.92769093597 rad
∠ C' = γ' = 78.97220471265° = 78°58'19″ = 1.76332704142 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.