# 6 7 8 triangle

### Acute scalene triangle.

Sides: a = 6   b = 7   c = 8

Area: T = 20.33331625676
Perimeter: p = 21
Semiperimeter: s = 10.5

Angle ∠ A = α = 46.56774634422° = 46°34'3″ = 0.81327555614 rad
Angle ∠ B = β = 57.91100487437° = 57°54'36″ = 1.01107210206 rad
Angle ∠ C = γ = 75.52224878141° = 75°31'21″ = 1.31881160717 rad

Height: ha = 6.77877208559
Height: hb = 5.80994750193
Height: hc = 5.08332906419

Median: ma = 6.8922024376
Median: mb = 6.14441028637
Median: mc = 5.14878150705

Inradius: r = 1.93664916731
Circumradius: R = 4.1311182236

Vertex coordinates: A[8; 0] B[0; 0] C[3.18875; 5.08332906419]
Centroid: CG[3.72991666667; 1.6944430214]
Coordinates of the circumscribed circle: U[4; 1.0332795559]
Coordinates of the inscribed circle: I[3.5; 1.93664916731]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 133.4332536558° = 133°25'57″ = 0.81327555614 rad
∠ B' = β' = 122.0989951256° = 122°5'24″ = 1.01107210206 rad
∠ C' = γ' = 104.4787512186° = 104°28'39″ = 1.31881160717 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.