# Triangle calculator

Please enter what you know about the triangle:
You have entered side a, b and c (hypotenuse-calculated).

### Right isosceles triangle.

Sides: a = 60.75   b = 60.75   c = 85.91334739142

Area: T = 1845.281125
Perimeter: p = 207.4133473914
Semiperimeter: s = 103.7076736957

Angle ∠ A = α = 45° = 0.78553981634 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 60.75
Height: hb = 60.75
Height: hc = 42.95767369571

Median: ma = 67.92105648166
Median: mb = 67.92105648166
Median: mc = 42.95767369571

Inradius: r = 17.79332630429
Circumradius: R = 42.95767369571

Vertex coordinates: A[85.91334739142; 0] B[0; 0] C[42.95767369571; 42.95767369571]
Centroid: CG[42.95767369571; 14.3198912319]
Coordinates of the circumscribed circle: U[42.95767369571; -0]
Coordinates of the inscribed circle: I[42.95767369571; 17.79332630429]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135° = 0.78553981634 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: side a, b and c (hypotenuse-calculated). ### 2. The triangle circumference is the sum of the lengths of its three sides ### 3. Semiperimeter of the triangle ### 4. The triangle area using Heron's formula ### 5. Calculate the heights of the triangle from its area. ### 6. Calculation of the inner angles of the triangle using a Law of Cosines    