# 8 14 15 triangle

### Acute scalene triangle.

Sides: a = 8   b = 14   c = 15

Area: T = 55.31221822025
Perimeter: p = 37
Semiperimeter: s = 18.5

Angle ∠ A = α = 31.78883306171° = 31°47'18″ = 0.5554811033 rad
Angle ∠ B = β = 67.20109687281° = 67°12'3″ = 1.17328781648 rad
Angle ∠ C = γ = 81.01107006548° = 81°39″ = 1.41439034558 rad

Height: ha = 13.82880455506
Height: hb = 7.90217403146
Height: hc = 7.3754957627

Median: ma = 13.9466325681
Median: mb = 9.77224101428
Median: mc = 8.58877820187

Inradius: r = 2.99898476866
Circumradius: R = 7.5933263966

Vertex coordinates: A[15; 0] B[0; 0] C[3.1; 7.3754957627]
Centroid: CG[6.03333333333; 2.4588319209]
Coordinates of the circumscribed circle: U[7.5; 1.18664474947]
Coordinates of the inscribed circle: I[4.5; 2.99898476866]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.2121669383° = 148°12'42″ = 0.5554811033 rad
∠ B' = β' = 112.7999031272° = 112°47'57″ = 1.17328781648 rad
∠ C' = γ' = 98.98992993452° = 98°59'21″ = 1.41439034558 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.