# 17 21 22 triangle

### Acute scalene triangle.

Sides: a = 17   b = 21   c = 22

Area: T = 167.5710880525
Perimeter: p = 60
Semiperimeter: s = 30

Angle ∠ A = α = 46.50333874881° = 46°30'12″ = 0.8121637225 rad
Angle ∠ B = β = 63.65501973562° = 63°39'1″ = 1.11109055134 rad
Angle ∠ C = γ = 69.84664151556° = 69°50'47″ = 1.21990499152 rad

Height: ha = 19.71442212383
Height: hb = 15.95991314786
Height: hc = 15.23437164114

Median: ma = 19.75547462651
Median: mb = 16.62107701386
Median: mc = 15.62204993518

Inradius: r = 5.58656960175
Circumradius: R = 11.71774296265

Vertex coordinates: A[22; 0] B[0; 0] C[7.54554545455; 15.23437164114]
Centroid: CG[9.84884848485; 5.07879054705]
Coordinates of the circumscribed circle: U[11; 4.03770976024]
Coordinates of the inscribed circle: I[9; 5.58656960175]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.4976612512° = 133°29'48″ = 0.8121637225 rad
∠ B' = β' = 116.3549802644° = 116°20'59″ = 1.11109055134 rad
∠ C' = γ' = 110.1543584844° = 110°9'13″ = 1.21990499152 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.