# 8 13 14 triangle

### Acute scalene triangle.

Sides: a = 8   b = 13   c = 14

Area: T = 51.17106703102
Perimeter: p = 35
Semiperimeter: s = 17.5

Angle ∠ A = α = 34.21660511313° = 34°12'58″ = 0.59771827493 rad
Angle ∠ B = β = 66.03105176822° = 66°1'50″ = 1.15224499404 rad
Angle ∠ C = γ = 79.75334311865° = 79°45'12″ = 1.3921959964 rad

Height: ha = 12.79326675776
Height: hb = 7.8722410817
Height: hc = 7.31100957586

Median: ma = 12.90334879006
Median: mb = 9.36774969976
Median: mc = 8.21658383626

Inradius: r = 2.92440383034
Circumradius: R = 7.11334499078

Vertex coordinates: A[14; 0] B[0; 0] C[3.25; 7.31100957586]
Centroid: CG[5.75; 2.43766985862]
Coordinates of the circumscribed circle: U[7; 1.26553733009]
Coordinates of the inscribed circle: I[4.5; 2.92440383034]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 145.7843948869° = 145°47'2″ = 0.59771827493 rad
∠ B' = β' = 113.9699482318° = 113°58'10″ = 1.15224499404 rad
∠ C' = γ' = 100.2476568814° = 100°14'48″ = 1.3921959964 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.