# 15 16 22 triangle

### Obtuse scalene triangle.

Sides: a = 15   b = 16   c = 22

Area: T = 119.9987656227
Perimeter: p = 53
Semiperimeter: s = 26.5

Angle ∠ A = α = 42.98548430555° = 42°59'5″ = 0.75502270398 rad
Angle ∠ B = β = 46.65770559912° = 46°39'25″ = 0.81443192463 rad
Angle ∠ C = γ = 90.35881009534° = 90°21'29″ = 1.57770463675 rad

Height: ha = 165.9996874969
Height: hb = 154.9997070284
Height: hc = 10.90988778388

Median: ma = 17.71329895839
Median: mb = 17.04440605491
Median: mc = 10.93216055545

Inradius: r = 4.52882134425
Circumradius: R = 111.00021485

Vertex coordinates: A[22; 0] B[0; 0] C[10.29554545455; 10.90988778388]
Centroid: CG[10.76551515152; 3.63662926129]
Coordinates of the circumscribed circle: U[11; -0.06987513428]
Coordinates of the inscribed circle: I[10.5; 4.52882134425]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.0155156945° = 137°55″ = 0.75502270398 rad
∠ B' = β' = 133.3432944009° = 133°20'35″ = 0.81443192463 rad
∠ C' = γ' = 89.64218990466° = 89°38'31″ = 1.57770463675 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.