# 110 105 145 triangle

### Acute scalene triangle.

Sides: a = 110   b = 105   c = 145

Area: T = 5751.08768538
Perimeter: p = 360
Semiperimeter: s = 180

Angle ∠ A = α = 49.06772754258° = 49°4'2″ = 0.85663855112 rad
Angle ∠ B = β = 46.14986331446° = 46°8'55″ = 0.80554455937 rad
Angle ∠ C = γ = 84.78440914295° = 84°47'3″ = 1.48797615488 rad

Height: ha = 104.5655215524
Height: hb = 109.5454511501
Height: hc = 79.32553359145

Median: ma = 114.018754251
Median: mb = 117.5
Median: mc = 79.41219008713

Inradius: r = 31.95504825211
Circumradius: R = 72.80114566017

Vertex coordinates: A[145; 0] B[0; 0] C[76.20768965517; 79.32553359145]
Centroid: CG[73.73656321839; 26.44217786382]
Coordinates of the circumscribed circle: U[72.5; 6.61883142365]
Coordinates of the inscribed circle: I[75; 31.95504825211]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.9332724574° = 130°55'58″ = 0.85663855112 rad
∠ B' = β' = 133.8511366855° = 133°51'5″ = 0.80554455937 rad
∠ C' = γ' = 95.21659085705° = 95°12'57″ = 1.48797615488 rad

# How did we calculate this triangle?

### 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.