# 7 23 27 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 23   c = 27

Area: T = 71.1099841772
Perimeter: p = 57
Semiperimeter: s = 28.5

Angle ∠ A = α = 13.23773216903° = 13°14'14″ = 0.23110348476 rad
Angle ∠ B = β = 48.79769007607° = 48°47'49″ = 0.8521666583 rad
Angle ∠ C = γ = 117.9665777549° = 117°57'57″ = 2.05988912229 rad

Height: ha = 20.31442405063
Height: hb = 6.18325949367
Height: hc = 5.26766549461

Median: ma = 24.83444518764
Median: mb = 16.0233420359
Median: mc = 10.33219891599

Inradius: r = 2.49547312902
Circumradius: R = 15.28548441419

Vertex coordinates: A[27; 0] B[0; 0] C[4.61111111111; 5.26766549461]
Centroid: CG[10.5377037037; 1.75655516487]
Coordinates of the circumscribed circle: U[13.5; -7.16877374703]
Coordinates of the inscribed circle: I[5.5; 2.49547312902]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 166.763267831° = 166°45'46″ = 0.23110348476 rad
∠ B' = β' = 131.2033099239° = 131°12'11″ = 0.8521666583 rad
∠ C' = γ' = 62.03442224509° = 62°2'3″ = 2.05988912229 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.