# 19 24 24 triangle

### Acute isosceles triangle.

Sides: a = 19   b = 24   c = 24

Area: T = 209.3777499985
Perimeter: p = 67
Semiperimeter: s = 33.5

Angle ∠ A = α = 46.63659141307° = 46°38'9″ = 0.81439502513 rad
Angle ∠ B = β = 66.68220429347° = 66°40'55″ = 1.16438212012 rad
Angle ∠ C = γ = 66.68220429347° = 66°40'55″ = 1.16438212012 rad

Height: ha = 22.04397368405
Height: hb = 17.44881249988
Height: hc = 17.44881249988

Median: ma = 22.04397368405
Median: mb = 18.01438835347
Median: mc = 18.01438835347

Inradius: r = 6.25500746264
Circumradius: R = 13.067730666

Vertex coordinates: A[24; 0] B[0; 0] C[7.52108333333; 17.44881249988]
Centroid: CG[10.50769444444; 5.81660416663]
Coordinates of the circumscribed circle: U[12; 5.17224755529]
Coordinates of the inscribed circle: I[9.5; 6.25500746264]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.3644085869° = 133°21'51″ = 0.81439502513 rad
∠ B' = β' = 113.3187957065° = 113°19'5″ = 1.16438212012 rad
∠ C' = γ' = 113.3187957065° = 113°19'5″ = 1.16438212012 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.