# 16 21 22 triangle

### Acute scalene triangle.

Sides: a = 16   b = 21   c = 22

Area: T = 159.3377495587
Perimeter: p = 59
Semiperimeter: s = 29.5

Angle ∠ A = α = 43.61221194431° = 43°36'44″ = 0.76111750781 rad
Angle ∠ B = β = 64.86773172888° = 64°52'2″ = 1.13221482636 rad
Angle ∠ C = γ = 71.52105632681° = 71°31'14″ = 1.24882693119 rad

Height: ha = 19.91771869484
Height: hb = 15.17549995797
Height: hc = 14.48552268716

Median: ma = 19.96224647777
Median: mb = 16.11767614613
Median: mc = 15.0833103129

Inradius: r = 5.40112710369
Circumradius: R = 11.59880233855

Vertex coordinates: A[22; 0] B[0; 0] C[6.79554545455; 14.48552268716]
Centroid: CG[9.59884848485; 4.82884089572]
Coordinates of the circumscribed circle: U[11; 3.67661591981]
Coordinates of the inscribed circle: I[8.5; 5.40112710369]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 136.3887880557° = 136°23'16″ = 0.76111750781 rad
∠ B' = β' = 115.1332682711° = 115°7'58″ = 1.13221482636 rad
∠ C' = γ' = 108.4799436732° = 108°28'46″ = 1.24882693119 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.