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 α.

Right scalene triangle.

Sides: a = 1.22004507735   b = 1.8   c = 2.16435808419

Area: T = 1.08804056961
Perimeter: p = 5.16440316154
Semiperimeter: s = 2.58220158077

Angle ∠ A = α = 33.7° = 33°42' = 0.58881759579 rad
Angle ∠ B = β = 56.3° = 56°18' = 0.98326203689 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 1.8
Height: hb = 1.22004507735
Height: hc = 0.99987199694

Median: ma = 1.89774378817
Median: mb = 1.55003606432
Median: mc = 1.0821790421

Inradius: r = 0.41884349658
Circumradius: R = 1.0821790421

Vertex coordinates: A[2.16435808419; 0] B[0; 0] C[0.66660634221; 0.99987199694]
Centroid: CG[0.94332147547; 0.33329066565]
Coordinates of the circumscribed circle: U[1.0821790421; 0]
Coordinates of the inscribed circle: I[0.78220158077; 0.41884349658]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.3° = 146°18' = 0.58881759579 rad
∠ B' = β' = 123.7° = 123°42' = 0.98326203689 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus b and angle α 2. From angle α we calculate angle β: 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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