# 6 12 12 triangle

### Acute isosceles triangle.

Sides: a = 6   b = 12   c = 12

Area: T = 34.85768501159
Perimeter: p = 30
Semiperimeter: s = 15

Angle ∠ A = α = 28.95550243719° = 28°57'18″ = 0.50553605103 rad
Angle ∠ B = β = 75.52224878141° = 75°31'21″ = 1.31881160717 rad
Angle ∠ C = γ = 75.52224878141° = 75°31'21″ = 1.31881160717 rad

Height: ha = 11.61989500386
Height: hb = 5.80994750193
Height: hc = 5.80994750193

Median: ma = 11.61989500386
Median: mb = 7.34884692283
Median: mc = 7.34884692283

Inradius: r = 2.32437900077
Circumradius: R = 6.19767733539

Vertex coordinates: A[12; 0] B[0; 0] C[1.5; 5.80994750193]
Centroid: CG[4.5; 1.93664916731]
Coordinates of the circumscribed circle: U[6; 1.54991933385]
Coordinates of the inscribed circle: I[3; 2.32437900077]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.0454975628° = 151°2'42″ = 0.50553605103 rad
∠ B' = β' = 104.4787512186° = 104°28'39″ = 1.31881160717 rad
∠ C' = γ' = 104.4787512186° = 104°28'39″ = 1.31881160717 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.