# 6 7 10 triangle

### Obtuse scalene triangle.

Sides: a = 6   b = 7   c = 10

Area: T = 20.66224659709
Perimeter: p = 23
Semiperimeter: s = 11.5

Angle ∠ A = α = 36.18222872212° = 36°10'56″ = 0.63215000429 rad
Angle ∠ B = β = 43.53111521674° = 43°31'52″ = 0.76597619325 rad
Angle ∠ C = γ = 100.2876560611° = 100°17'12″ = 1.75503306782 rad

Height: ha = 6.8877488657
Height: hb = 5.9043561706
Height: hc = 4.13224931942

Median: ma = 8.09332070281
Median: mb = 7.46765922615
Median: mc = 4.18333001327

Inradius: r = 1.79767361714
Circumradius: R = 5.08216780605

Vertex coordinates: A[10; 0] B[0; 0] C[4.35; 4.13224931942]
Centroid: CG[4.78333333333; 1.37774977314]
Coordinates of the circumscribed circle: U[5; -0.90774425108]
Coordinates of the inscribed circle: I[4.5; 1.79767361714]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.8187712779° = 143°49'4″ = 0.63215000429 rad
∠ B' = β' = 136.4698847833° = 136°28'8″ = 0.76597619325 rad
∠ C' = γ' = 79.71334393885° = 79°42'48″ = 1.75503306782 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.