# Isosceles triangle calculator (h)

Please enter two properties of the isosceles triangle

Use symbols: a, b, h, T, p, A, B, C, r, R

You have entered height hc and angle γ.

### Acute isosceles triangle.

Sides: a = 502.708822243   b = 502.708822243   c = 104.2222011095

Area: T = 26055.50327737
Perimeter: p = 1109.638845596
Semiperimeter: s = 554.8199227978

Angle ∠ A = α = 84.05° = 84°3' = 1.46769492363 rad
Angle ∠ B = β = 84.05° = 84°3' = 1.46769492363 rad
Angle ∠ C = γ = 11.9° = 11°54' = 0.2087694181 rad

Height: ha = 103.6610539499
Height: hb = 103.6610539499
Height: hc = 500

Median: ma = 261.9355112238
Median: mb = 261.9355112238
Median: mc = 500

Vertex coordinates: A[104.2222011095; 0] B[0; 0] C[52.11110055474; 500]
Centroid: CG[52.11110055474; 166.6676666667]
Coordinates of the circumscribed circle: U[52.11110055474; 247.2844443101]
Coordinates of the inscribed circle: I[52.11110055474; 46.96221481373]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 95.95° = 95°57' = 1.46769492363 rad
∠ B' = β' = 95.95° = 95°57' = 1.46769492363 rad
∠ C' = γ' = 168.1° = 168°6' = 0.2087694181 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    