# 13 23 27 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 23   c = 27

Area: T = 149.2998986936
Perimeter: p = 63
Semiperimeter: s = 31.5

Angle ∠ A = α = 28.74398923432° = 28°44'24″ = 0.50216057481 rad
Angle ∠ B = β = 58.28985931853° = 58°17'19″ = 1.01773278674 rad
Angle ∠ C = γ = 92.97215144715° = 92°58'17″ = 1.62326590381 rad

Height: ha = 22.96990749132
Height: hb = 12.98325206031
Height: hc = 11.05991842175

Median: ma = 24.22329230276
Median: mb = 17.79774717306
Median: mc = 12.91331715701

Inradius: r = 4.74396503789
Circumradius: R = 13.51881761204

Vertex coordinates: A[27; 0] B[0; 0] C[6.83333333333; 11.05991842175]
Centroid: CG[11.27877777778; 3.68663947392]
Coordinates of the circumscribed circle: U[13.5; -0.70107750163]
Coordinates of the inscribed circle: I[8.5; 4.74396503789]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151.2660107657° = 151°15'36″ = 0.50216057481 rad
∠ B' = β' = 121.7111406815° = 121°42'41″ = 1.01773278674 rad
∠ C' = γ' = 87.02884855285° = 87°1'43″ = 1.62326590381 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.