# 10 13 15 triangle

### Acute scalene triangle.

Sides: a = 10   b = 13   c = 15

Area: T = 64.06224695122
Perimeter: p = 38
Semiperimeter: s = 19

Angle ∠ A = α = 41.07553488744° = 41°4'31″ = 0.71769000793 rad
Angle ∠ B = β = 58.66877485024° = 58°40'4″ = 1.02439453761 rad
Angle ∠ C = γ = 80.25769026232° = 80°15'25″ = 1.40107471982 rad

Height: ha = 12.81224939024
Height: hb = 9.85657645403
Height: hc = 8.54216626016

Median: ma = 13.11548770486
Median: mb = 10.96658560997
Median: mc = 8.84659030065

Inradius: r = 3.37217089217
Circumradius: R = 7.61097597191

Vertex coordinates: A[15; 0] B[0; 0] C[5.2; 8.54216626016]
Centroid: CG[6.73333333333; 2.84772208672]
Coordinates of the circumscribed circle: U[7.5; 1.28878054909]
Coordinates of the inscribed circle: I[6; 3.37217089217]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138.9254651126° = 138°55'29″ = 0.71769000793 rad
∠ B' = β' = 121.3322251498° = 121°19'56″ = 1.02439453761 rad
∠ C' = γ' = 99.74330973768° = 99°44'35″ = 1.40107471982 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.