# 11 14 16 triangle

### Acute scalene triangle.

Sides: a = 11   b = 14   c = 16

Area: T = 75.47547474325
Perimeter: p = 41
Semiperimeter: s = 20.5

Angle ∠ A = α = 42.36773658321° = 42°22'3″ = 0.73994500292 rad
Angle ∠ B = β = 59.05656994922° = 59°3'21″ = 1.03107163982 rad
Angle ∠ C = γ = 78.57769346758° = 78°34'37″ = 1.37114262262 rad

Height: ha = 13.72326813514
Height: hb = 10.78221067761
Height: hc = 9.43443434291

Median: ma = 13.99110685796
Median: mb = 11.8111011811
Median: mc = 9.72111110476

Inradius: r = 3.68216949967
Circumradius: R = 8.16216702401

Vertex coordinates: A[16; 0] B[0; 0] C[5.656625; 9.43443434291]
Centroid: CG[7.219875; 3.1454781143]
Coordinates of the circumscribed circle: U[8; 1.61664346904]
Coordinates of the inscribed circle: I[6.5; 3.68216949967]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.6332634168° = 137°37'57″ = 0.73994500292 rad
∠ B' = β' = 120.9444300508° = 120°56'39″ = 1.03107163982 rad
∠ C' = γ' = 101.4233065324° = 101°25'23″ = 1.37114262262 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.