Triangle calculator - result

You have entered height ha, height hb and height hc.

Right scalene Pythagorean triangle.

Sides: a = 165   b = 220   c = 275

Area: T = 18150
Perimeter: p = 660
Semiperimeter: s = 330

Angle ∠ A = α = 36.87698976458° = 36°52'12″ = 0.64435011088 rad
Angle ∠ B = β = 53.13301023542° = 53°7'48″ = 0.9277295218 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 220
Height: hb = 165
Height: hc = 132

Median: ma = 234.9660102996
Median: mb = 198.305532015
Median: mc = 137.5

Vertex coordinates: A[275; 0] B[0; 0] C[99; 132]
Centroid: CG[124.6676666667; 44]
Coordinates of the circumscribed circle: U[137.5; 0]
Coordinates of the inscribed circle: I[110; 55]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 143.1330102354° = 143°7'48″ = 0.64435011088 rad
∠ B' = β' = 126.8769897646° = 126°52'12″ = 0.9277295218 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: height ha, height hb and height hc. 2. From height ha, height hb and height hc we calculate area T: 3. From area T and height ha we calculate side a: 4. From area T and height hb we calculate side b: 5. From area T and height hc we calculate side c: 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. 6. The triangle circumference is the sum of the lengths of its three sides 7. Semiperimeter of the triangle 8. The triangle area using Heron's formula 9. Calculate the heights of the triangle from its area. 10. Calculation of the inner angles of the triangle using a Law of Cosines    