Right triangle calculator (a,b)

Please enter two properties of the right triangle

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

You have entered cathetus b and angle β.

Right scalene triangle.

Sides: a = 0.30771859917   b = 0.24   c = 0.39898246189

Area: T = 0.0376862319
Perimeter: p = 0.93770106106
Semiperimeter: s = 0.46985053053

Angle ∠ A = α = 52° = 0.9087571211 rad
Angle ∠ B = β = 38° = 0.66332251158 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 0.24
Height: hb = 0.30771859917
Height: hc = 0.18991225809

Median: ma = 0.28549400084
Median: mb = 0.33297927129
Median: mc = 0.19549123095

Inradius: r = 0.07986806864
Circumradius: R = 0.19549123095

Vertex coordinates: A[0.39898246189; 0] B[0; 0] C[0.24220658648; 0.18991225809]
Centroid: CG[0.21106301613; 0.06330408603]
Coordinates of the circumscribed circle: U[0.19549123095; -0]
Coordinates of the inscribed circle: I[0.22985053053; 0.07986806864]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 128° = 0.9087571211 rad
∠ B' = β' = 142° = 0.66332251158 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus b and angle β 2. From angle β we calculate angle α: 3. From cathetus b and angle α we calculate hypotenuse c: 4. From hypotenuse c and angle α we calculate cathetus a: 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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