# 19 19 24 triangle

### Acute isosceles triangle.

Sides: a = 19   b = 19   c = 24

Area: T = 176.7711038352
Perimeter: p = 62
Semiperimeter: s = 31

Angle ∠ A = α = 50.83332892839° = 50°50' = 0.88772082676 rad
Angle ∠ B = β = 50.83332892839° = 50°50' = 0.88772082676 rad
Angle ∠ C = γ = 78.33334214322° = 78°20' = 1.36771761183 rad

Height: ha = 18.60774777213
Height: hb = 18.60774777213
Height: hc = 14.73109198627

Median: ma = 19.44986503388
Median: mb = 19.44986503388
Median: mc = 14.73109198627

Inradius: r = 5.70222915597
Circumradius: R = 12.25331384111

Vertex coordinates: A[24; 0] B[0; 0] C[12; 14.73109198627]
Centroid: CG[12; 4.91103066209]
Coordinates of the circumscribed circle: U[12; 2.47877814516]
Coordinates of the inscribed circle: I[12; 5.70222915597]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129.1676710716° = 129°10' = 0.88772082676 rad
∠ B' = β' = 129.1676710716° = 129°10' = 0.88772082676 rad
∠ C' = γ' = 101.6676578568° = 101°40' = 1.36771761183 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.