# Triangle calculator

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

### Right scalene triangle.

Sides: a = 32   b = 32.8   c = 45.82440111732

Area: T = 524.8
Perimeter: p = 110.6244011173
Semiperimeter: s = 55.31220055866

Angle ∠ A = α = 44.29326806315° = 44°17'34″ = 0.77330531116 rad
Angle ∠ B = β = 45.70773193685° = 45°42'26″ = 0.79877432152 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 32.8
Height: hb = 32
Height: hc = 22.90550223481

Median: ma = 36.49443831295
Median: mb = 35.95877529888
Median: mc = 22.91220055866

Inradius: r = 9.48879944134
Circumradius: R = 22.91220055866

Vertex coordinates: A[45.82440111732; 0] B[0; 0] C[22.34663632664; 22.90550223481]
Centroid: CG[22.72334581465; 7.63550074494]
Coordinates of the circumscribed circle: U[22.91220055866; 0]
Coordinates of the inscribed circle: I[22.51220055866; 9.48879944134]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.7077319369° = 135°42'26″ = 0.77330531116 rad
∠ B' = β' = 134.2932680631° = 134°17'34″ = 0.79877432152 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    