# 7 16 22 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 16   c = 22

Area: T = 33.66765635312
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 11.02879186667° = 11°1'41″ = 0.19224734904 rad
Angle ∠ B = β = 25.92771561696° = 25°55'38″ = 0.45325142408 rad
Angle ∠ C = γ = 143.0454925164° = 143°2'42″ = 2.49766049224 rad

Height: ha = 9.61990181518
Height: hb = 4.20883204414
Height: hc = 3.06105966847

Median: ma = 18.91442803194
Median: mb = 14.23302494708
Median: mc = 5.61224860802

Inradius: r = 1.49662917125
Circumradius: R = 18.29770857548

Vertex coordinates: A[22; 0] B[0; 0] C[6.29554545455; 3.06105966847]
Centroid: CG[9.43218181818; 1.02201988949]
Coordinates of the circumscribed circle: U[11; -14.62113319201]
Coordinates of the inscribed circle: I[6.5; 1.49662917125]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.9722081333° = 168°58'19″ = 0.19224734904 rad
∠ B' = β' = 154.073284383° = 154°4'22″ = 0.45325142408 rad
∠ C' = γ' = 36.95550748363° = 36°57'18″ = 2.49766049224 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.