# 10 15 22 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 15   c = 22

Area: T = 63.6599823113
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 22.67218953288° = 22°40'19″ = 0.39656992212 rad
Angle ∠ B = β = 35.32326498434° = 35°19'22″ = 0.61664965403 rad
Angle ∠ C = γ = 122.0055454828° = 122°20″ = 2.12993968921 rad

Height: ha = 12.72199646226
Height: hb = 8.48799764151
Height: hc = 5.78218021012

Median: ma = 18.15221348607
Median: mb = 15.35441525328
Median: mc = 6.44220493634

Inradius: r = 2.70663754516
Circumradius: R = 12.97217341907

Vertex coordinates: A[22; 0] B[0; 0] C[8.15990909091; 5.78218021012]
Centroid: CG[10.0533030303; 1.92772673671]
Coordinates of the circumscribed circle: U[11; -6.87550191211]
Coordinates of the inscribed circle: I[8.5; 2.70663754516]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 157.3288104671° = 157°19'41″ = 0.39656992212 rad
∠ B' = β' = 144.6777350157° = 144°40'38″ = 0.61664965403 rad
∠ C' = γ' = 57.99545451722° = 57°59'40″ = 2.12993968921 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.