# 11 15 22 triangle

### Obtuse scalene triangle.

Sides: a = 11   b = 15   c = 22

Area: T = 74.94399759808
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 27.01222939589° = 27°44″ = 0.47114534681 rad
Angle ∠ B = β = 38.26878548582° = 38°16'4″ = 0.6687900065 rad
Angle ∠ C = γ = 114.7219851183° = 114°43'11″ = 2.00222391205 rad

Height: ha = 13.62554501783
Height: hb = 9.99219967974
Height: hc = 6.81327250892

Median: ma = 18.00769431054
Median: mb = 15.69223548265
Median: mc = 7.21111025509

Inradius: r = 3.12224989992
Circumradius: R = 12.11096916315

Vertex coordinates: A[22; 0] B[0; 0] C[8.63663636364; 6.81327250892]
Centroid: CG[10.21221212121; 2.27109083631]
Coordinates of the circumscribed circle: U[11; -5.06440528641]
Coordinates of the inscribed circle: I[9; 3.12224989992]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 152.9887706041° = 152°59'16″ = 0.47114534681 rad
∠ B' = β' = 141.7322145142° = 141°43'56″ = 0.6687900065 rad
∠ C' = γ' = 65.28801488171° = 65°16'49″ = 2.00222391205 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.