# 7 19 19 triangle

### Acute isosceles triangle.

Sides: a = 7   b = 19   c = 19

Area: T = 65.36219728894
Perimeter: p = 45
Semiperimeter: s = 22.5

Angle ∠ A = α = 21.23302157014° = 21°13'49″ = 0.37105371649 rad
Angle ∠ B = β = 79.38548921493° = 79°23'6″ = 1.38655277443 rad
Angle ∠ C = γ = 79.38548921493° = 79°23'6″ = 1.38655277443 rad

Height: ha = 18.6754849397
Height: hb = 6.88802076726
Height: hc = 6.88802076726

Median: ma = 18.6754849397
Median: mb = 10.71221426428
Median: mc = 10.71221426428

Inradius: r = 2.90549765729
Circumradius: R = 9.66554059245

Vertex coordinates: A[19; 0] B[0; 0] C[1.28994736842; 6.88802076726]
Centroid: CG[6.76331578947; 2.29334025575]
Coordinates of the circumscribed circle: U[9.5; 1.78804695124]
Coordinates of the inscribed circle: I[3.5; 2.90549765729]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 158.7769784299° = 158°46'11″ = 0.37105371649 rad
∠ B' = β' = 100.6155107851° = 100°36'54″ = 1.38655277443 rad
∠ C' = γ' = 100.6155107851° = 100°36'54″ = 1.38655277443 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.