# 100 141 100 triangle

### Acute isosceles triangle.

Sides: a = 100   b = 141   c = 100

Area: T = 4999.911149297
Perimeter: p = 341
Semiperimeter: s = 170.5

Angle ∠ A = α = 45.17704559498° = 45°10'14″ = 0.7888373181 rad
Angle ∠ B = β = 89.65990881004° = 89°39'33″ = 1.56548462917 rad
Angle ∠ C = γ = 45.17704559498° = 45°10'14″ = 0.7888373181 rad

Height: ha = 99.99882298593
Height: hb = 70.92107303967
Height: hc = 99.99882298593

Median: ma = 111.537698938
Median: mb = 70.92107303967
Median: mc = 111.537698938

Inradius: r = 29.32549940936
Circumradius: R = 70.50112479713

Vertex coordinates: A[100; 0] B[0; 0] C[0.595; 99.99882298593]
Centroid: CG[33.53216666667; 33.33327432864]
Coordinates of the circumscribed circle: U[50; 49.70333798197]
Coordinates of the inscribed circle: I[29.5; 29.32549940936]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 134.832954405° = 134°49'46″ = 0.7888373181 rad
∠ B' = β' = 90.34109118996° = 90°20'27″ = 1.56548462917 rad
∠ C' = γ' = 134.832954405° = 134°49'46″ = 0.7888373181 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    