# 10 19 27 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 19   c = 27

Area: T = 67.35498329619
Perimeter: p = 56
Semiperimeter: s = 28

Angle ∠ A = α = 15.22327570342° = 15°13'22″ = 0.26656872315 rad
Angle ∠ B = β = 29.92664348666° = 29°55'35″ = 0.52223148218 rad
Angle ∠ C = γ = 134.8510808099° = 134°51'3″ = 2.35435906003 rad

Height: ha = 13.47699665924
Height: hb = 7.08994561013
Height: hc = 4.98988765157

Median: ma = 22.8043508502
Median: mb = 18.00769431054
Median: mc = 6.94662219947

Inradius: r = 2.40553511772
Circumradius: R = 19.04223634863

Vertex coordinates: A[27; 0] B[0; 0] C[8.66766666667; 4.98988765157]
Centroid: CG[11.88988888889; 1.66329588386]
Coordinates of the circumscribed circle: U[13.5; -13.43298774061]
Coordinates of the inscribed circle: I[9; 2.40553511772]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164.7777242966° = 164°46'38″ = 0.26656872315 rad
∠ B' = β' = 150.0743565133° = 150°4'25″ = 0.52223148218 rad
∠ C' = γ' = 45.14991919008° = 45°8'57″ = 2.35435906003 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.