# 7 8 14 triangle

### Obtuse scalene triangle.

Sides: a = 7   b = 8   c = 14

Area: T = 18.87999335105
Perimeter: p = 29
Semiperimeter: s = 14.5

Angle ∠ A = α = 19.61659069161° = 19°36'57″ = 0.34223621615 rad
Angle ∠ B = β = 22.56113280909° = 22°33'41″ = 0.39437694588 rad
Angle ∠ C = γ = 137.8232764993° = 137°49'22″ = 2.40554610333 rad

Height: ha = 5.37114095744
Height: hb = 4.76999833776
Height: hc = 2.68657047872

Median: ma = 10.85112672071
Median: mb = 10.32198837203
Median: mc = 2.73986127875

Inradius: r = 1.29765471387
Circumradius: R = 10.42655687867

Vertex coordinates: A[14; 0] B[0; 0] C[6.46442857143; 2.68657047872]
Centroid: CG[6.82114285714; 0.89552349291]
Coordinates of the circumscribed circle: U[7; -7.72660911545]
Coordinates of the inscribed circle: I[6.5; 1.29765471387]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 160.3844093084° = 160°23'3″ = 0.34223621615 rad
∠ B' = β' = 157.4398671909° = 157°26'19″ = 0.39437694588 rad
∠ C' = γ' = 42.17772350071° = 42°10'38″ = 2.40554610333 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.