# 10 20 27 triangle

### Obtuse scalene triangle.

Sides: a = 10   b = 20   c = 27

Area: T = 81.99904720074
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 17.6788070483° = 17°40'41″ = 0.30985405353 rad
Angle ∠ B = β = 37.39771865213° = 37°23'50″ = 0.65327040358 rad
Angle ∠ C = γ = 124.9254742996° = 124°55'29″ = 2.18803480825 rad

Height: ha = 16.39880944015
Height: hb = 8.19990472007
Height: hc = 6.07333682968

Median: ma = 23.22771392987
Median: mb = 17.7344147851
Median: mc = 8.23110388166

Inradius: r = 2.87768586669
Circumradius: R = 16.46553278234

Vertex coordinates: A[27; 0] B[0; 0] C[7.94444444444; 6.07333682968]
Centroid: CG[11.64881481481; 2.02444560989]
Coordinates of the circumscribed circle: U[13.5; -9.42664001789]
Coordinates of the inscribed circle: I[8.5; 2.87768586669]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 162.3221929517° = 162°19'19″ = 0.30985405353 rad
∠ B' = β' = 142.6032813479° = 142°36'10″ = 0.65327040358 rad
∠ C' = γ' = 55.07552570043° = 55°4'31″ = 2.18803480825 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.