# 27.295 21.095 8.485 triangle

### Obtuse scalene triangle.

Sides: a = 27.29546881279   b = 21.09550231097   c = 8.48552813742

Area: T = 698.9999999998
Perimeter: p = 56.87549926118
Semiperimeter: s = 28.43774963059

Angle ∠ A = α = 129.5659667969° = 129°33'35″ = 2.26112427839 rad
Angle ∠ B = β = 36.57330309784° = 36°34'23″ = 0.6388319808 rad
Angle ∠ C = γ = 13.86773010525° = 13°52'2″ = 0.24220300617 rad

Height: ha = 5.05659288076
Height: hb = 6.54218273913
Height: hc = 16.26334559672

Median: ma = 8.5
Median: mb = 17.24109396496
Median: mc = 24.02108242989

Inradius: r = 2.42663739416
Circumradius: R = 17.70217135223

Vertex coordinates: A[8.48552813742; 0] B[0; 0] C[21.92203102168; 16.26334559672]
Centroid: CG[10.1355197197; 5.42111519891]
Coordinates of the circumscribed circle: U[4.24326406871; 17.18657691602]
Coordinates of the inscribed circle: I[7.34224731962; 2.42663739416]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 50.44403320308° = 50°26'25″ = 2.26112427839 rad
∠ B' = β' = 143.4276969022° = 143°25'37″ = 0.6388319808 rad
∠ C' = γ' = 166.1332698948° = 166°7'58″ = 0.24220300617 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.