# 3 14 15 triangle

### Obtuse scalene triangle.

Sides: a = 3   b = 14   c = 15

Area: T = 20.39660780544
Perimeter: p = 32
Semiperimeter: s = 16

Angle ∠ A = α = 11.20108183696° = 11°12'3″ = 0.19554911595 rad
Angle ∠ B = β = 65.02550346323° = 65°1'30″ = 1.13549009506 rad
Angle ∠ C = γ = 103.7744146998° = 103°46'27″ = 1.81112005436 rad

Height: ha = 13.59773853696
Height: hb = 2.91437254363
Height: hc = 2.71994770739

Median: ma = 14.43108696897
Median: mb = 8.24662112512
Median: mc = 6.80107352544

Inradius: r = 1.27547548784
Circumradius: R = 7.72220728211

Vertex coordinates: A[15; 0] B[0; 0] C[1.26766666667; 2.71994770739]
Centroid: CG[5.42222222222; 0.9066492358]
Coordinates of the circumscribed circle: U[7.5; -1.83985887669]
Coordinates of the inscribed circle: I[2; 1.27547548784]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168.799918163° = 168°47'57″ = 0.19554911595 rad
∠ B' = β' = 114.9754965368° = 114°58'30″ = 1.13549009506 rad
∠ C' = γ' = 76.2265853002° = 76°13'33″ = 1.81112005436 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.