# 7 13 14 triangle

### Acute scalene triangle.

Sides: a = 7   b = 13   c = 14

Area: T = 45.16663591625
Perimeter: p = 34
Semiperimeter: s = 17

Angle ∠ A = α = 29.75877290681° = 29°45'28″ = 0.51993703502 rad
Angle ∠ B = β = 67.18551127773° = 67°11'6″ = 1.17326014263 rad
Angle ∠ C = γ = 83.05771581546° = 83°3'26″ = 1.45496208771 rad

Height: ha = 12.90546740464
Height: hb = 6.94986706404
Height: hc = 6.45223370232

Median: ma = 13.04879883507
Median: mb = 8.95882364336
Median: mc = 7.74659666924

Inradius: r = 2.65768446566
Circumradius: R = 7.05217085261

Vertex coordinates: A[14; 0] B[0; 0] C[2.71442857143; 6.45223370232]
Centroid: CG[5.57114285714; 2.15107790077]
Coordinates of the circumscribed circle: U[7; 0.85224043273]
Coordinates of the inscribed circle: I[4; 2.65768446566]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 150.2422270932° = 150°14'32″ = 0.51993703502 rad
∠ B' = β' = 112.8154887223° = 112°48'54″ = 1.17326014263 rad
∠ C' = γ' = 96.94328418454° = 96°56'34″ = 1.45496208771 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.