# 10 17 22 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 17   c = 22

Area: T = 81.61545667145
Perimeter: p = 49
Semiperimeter: s = 24.5

Angle ∠ A = α = 25.87770564012° = 25°52'37″ = 0.45216398349 rad
Angle ∠ B = β = 47.89878434641° = 47°53'52″ = 0.83659750731 rad
Angle ∠ C = γ = 106.2255100135° = 106°13'30″ = 1.85439777456 rad

Height: ha = 16.32329133429
Height: hb = 9.60217137311
Height: hc = 7.4219506065

Median: ma = 19.01331533418
Median: mb = 14.82439670804
Median: mc = 8.57332140997

Inradius: r = 3.33112068047
Circumradius: R = 11.45662882294

Vertex coordinates: A[22; 0] B[0; 0] C[6.70545454545; 7.4219506065]
Centroid: CG[9.56881818182; 2.47331686883]
Coordinates of the circumscribed circle: U[11; -3.20110217112]
Coordinates of the inscribed circle: I[7.5; 3.33112068047]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.1232943599° = 154°7'23″ = 0.45216398349 rad
∠ B' = β' = 132.1022156536° = 132°6'8″ = 0.83659750731 rad
∠ C' = γ' = 73.77548998653° = 73°46'30″ = 1.85439777456 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.