# 7 18 22 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 18   c = 22

Area: T = 56.55991504533
Perimeter: p = 47
Semiperimeter: s = 23.5

Angle ∠ A = α = 16.59878421359° = 16°35'52″ = 0.2989686994 rad
Angle ∠ B = β = 47.26878899574° = 47°16'4″ = 0.82549803102 rad
Angle ∠ C = γ = 116.1344267907° = 116°8'3″ = 2.02769253494 rad

Height: ha = 16.16597572724
Height: hb = 6.28443500504
Height: hc = 5.14217409503

Median: ma = 19.79326754129
Median: mb = 13.62198384719
Median: mc = 8.09332070281

Inradius: r = 2.40767723597
Circumradius: R = 12.25326592858

Vertex coordinates: A[22; 0] B[0; 0] C[4.75; 5.14217409503]
Centroid: CG[8.91766666667; 1.71439136501]
Coordinates of the circumscribed circle: U[11; -5.39770046854]
Coordinates of the inscribed circle: I[5.5; 2.40767723597]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.4022157864° = 163°24'8″ = 0.2989686994 rad
∠ B' = β' = 132.7322110043° = 132°43'56″ = 0.82549803102 rad
∠ C' = γ' = 63.86657320933° = 63°51'57″ = 2.02769253494 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.