# 100 50 75 triangle

### Obtuse scalene triangle.

Sides: a = 100   b = 50   c = 75

Area: T = 1815.461094353
Perimeter: p = 225
Semiperimeter: s = 112.5

Angle ∠ A = α = 104.4787512186° = 104°28'39″ = 1.82334765819 rad
Angle ∠ B = β = 28.95550243719° = 28°57'18″ = 0.50553605103 rad
Angle ∠ C = γ = 46.56774634422° = 46°34'3″ = 0.81327555614 rad

Height: ha = 36.30992188707
Height: hb = 72.61884377414
Height: hc = 48.41222918276

Median: ma = 39.52884707521
Median: mb = 84.77991247891
Median: mc = 69.59770545354

Inradius: r = 16.13774306092
Circumradius: R = 51.64397779494

Vertex coordinates: A[75; 0] B[0; 0] C[87.5; 48.41222918276]
Centroid: CG[54.16766666667; 16.13774306092]
Coordinates of the circumscribed circle: U[37.5; 35.50223473402]
Coordinates of the inscribed circle: I[62.5; 16.13774306092]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 75.52224878141° = 75°31'21″ = 1.82334765819 rad
∠ B' = β' = 151.0454975628° = 151°2'42″ = 0.50553605103 rad
∠ C' = γ' = 133.4332536558° = 133°25'57″ = 0.81327555614 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.