# 13 15 27 triangle

### Obtuse scalene triangle.

Sides: a = 13   b = 15   c = 27

Area: T = 49.92218138693
Perimeter: p = 55
Semiperimeter: s = 27.5

Angle ∠ A = α = 14.27221207873° = 14°16'20″ = 0.2499095499 rad
Angle ∠ B = β = 16.5266260923° = 16°31'35″ = 0.28884376661 rad
Angle ∠ C = γ = 149.202161829° = 149°12'6″ = 2.60440594885 rad

Height: ha = 7.68802790568
Height: hb = 6.65662418492
Height: hc = 3.69879121385

Median: ma = 20.8510659462
Median: mb = 19.81879211826
Median: mc = 3.84105728739

Inradius: r = 1.81553386862
Circumradius: R = 26.36662294693

Vertex coordinates: A[27; 0] B[0; 0] C[12.4632962963; 3.69879121385]
Centroid: CG[13.15443209877; 1.23326373795]
Coordinates of the circumscribed circle: U[13.5; -22.64879150569]
Coordinates of the inscribed circle: I[12.5; 1.81553386862]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 165.7287879213° = 165°43'40″ = 0.2499095499 rad
∠ B' = β' = 163.4743739077° = 163°28'25″ = 0.28884376661 rad
∠ C' = γ' = 30.79883817103° = 30°47'54″ = 2.60440594885 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.