Right triangle calculator (B,c)

Please enter two properties of the right triangle

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

You have entered hypotenuse c, angle β and angle γ.

Right scalene triangle.

Sides: a = 83.13884387633   b = 48   c = 96

Area: T = 1995.323253032
Perimeter: p = 227.1388438763
Semiperimeter: s = 113.5699219382

Angle ∠ A = α = 60° = 1.04771975512 rad
Angle ∠ B = β = 30° = 0.52435987756 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 48
Height: hb = 83.13884387633
Height: hc = 41.56992193817

Median: ma = 63.49880314656
Median: mb = 86.53332306111
Median: mc = 48

Inradius: r = 17.56992193817
Circumradius: R = 48

Vertex coordinates: A[96; 0] B[0; 0] C[72; 41.56992193817]
Centroid: CG[56; 13.85664064606]
Coordinates of the circumscribed circle: U[48; 0]
Coordinates of the inscribed circle: I[65.56992193817; 17.56992193817]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 120° = 1.04771975512 rad
∠ B' = β' = 150° = 0.52435987756 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: hypotenuse c, angle β and angle γ 2. From angle β we calculate angle α: 3. From hypotenuse c and angle α we calculate cathetus a: 4. From cathetus a and hypotenuse c we calculate cathetus b - Pythagorean theorem: 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. 5. The triangle circumference is the sum of the lengths of its three sides 6. Semiperimeter of the triangle 7. The triangle area - from two legs 8. Calculate the heights of the triangle from its area. 9. Calculation of the inner angles of the triangle - basic use of sine function   12. Calculation of medians Trigonometry right triangle solver. You can calculate angles, sides (adjacent, opposite, hypotenuse) and area of any right-angled triangle and use it in real world to find height. A right-angled triangle is entirely determined by two independent properties. Step-by-step explanations are provided for each calculation.

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