# 10 19 19 triangle

### Acute isosceles triangle.

Sides: a = 10   b = 19   c = 19

Area: T = 91.65215138991
Perimeter: p = 48
Semiperimeter: s = 24

Angle ∠ A = α = 30.51550465809° = 30°30'54″ = 0.53325880342 rad
Angle ∠ B = β = 74.74224767095° = 74°44'33″ = 1.30545023097 rad
Angle ∠ C = γ = 74.74224767095° = 74°44'33″ = 1.30545023097 rad

Height: ha = 18.33303027798
Height: hb = 9.64875277789
Height: hc = 9.64875277789

Median: ma = 18.33303027798
Median: mb = 11.84327192823
Median: mc = 11.84327192823

Inradius: r = 3.81988130791
Circumradius: R = 9.84770822969

Vertex coordinates: A[19; 0] B[0; 0] C[2.63215789474; 9.64875277789]
Centroid: CG[7.21105263158; 3.2165842593]
Coordinates of the circumscribed circle: U[9.5; 2.59113374466]
Coordinates of the inscribed circle: I[5; 3.81988130791]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 149.4854953419° = 149°29'6″ = 0.53325880342 rad
∠ B' = β' = 105.258752329° = 105°15'27″ = 1.30545023097 rad
∠ C' = γ' = 105.258752329° = 105°15'27″ = 1.30545023097 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.