Right triangle calculator (A,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 α and angle β.

Right scalene triangle.

Sides: a = 2.25443647341   b = 4.06769816382   c = 4.65

Area: T = 4.58442299898
Perimeter: p = 10.97113463723
Semiperimeter: s = 5.48656731862

Angle ∠ A = α = 29° = 0.50661454831 rad
Angle ∠ B = β = 61° = 1.06546508437 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 4.06769816382
Height: hb = 2.25443647341
Height: hc = 1.97217118236

Median: ma = 4.22202937971
Median: mb = 3.03659916446
Median: mc = 2.325

Inradius: r = 0.83656731862
Circumradius: R = 2.325

Vertex coordinates: A[4.65; 0] B[0; 0] C[1.09329377107; 1.97217118236]
Centroid: CG[1.91443125702; 0.65772372745]
Coordinates of the circumscribed circle: U[2.325; -0]
Coordinates of the inscribed circle: I[1.4198691548; 0.83656731862]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151° = 0.50661454831 rad
∠ B' = β' = 119° = 1.06546508437 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: hypotenuse c, angle α and angle β 2. From hypotenuse c and angle α we calculate cathetus a: 3. 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. 4. The triangle circumference is the sum of the lengths of its three sides 5. Semiperimeter of the triangle 6. The triangle area - from two legs 7. Calculate the heights of the triangle from its area. 8. Calculation of the inner angles of the triangle - basic use of sine function   11. 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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