# Right triangle calculator (B,a)

Please enter two properties of the right triangle

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

You have entered cathetus a and angle β.

### Right scalene triangle.

Sides: a = 27.5   b = 15.87771324027   c = 31.75442648054

Area: T = 218.3110570537
Perimeter: p = 75.13113972081
Semiperimeter: s = 37.56656986041

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

Height: ha = 15.87771324027
Height: hb = 27.5
Height: hc = 13.75

Median: ma = 21.00334719352
Median: mb = 28.62329074927
Median: mc = 15.87771324027

Inradius: r = 5.81114337986
Circumradius: R = 15.87771324027

Vertex coordinates: A[31.75442648054; 0] B[0; 0] C[23.81656986041; 13.75]
Centroid: CG[18.52333211365; 4.58333333333]
Coordinates of the circumscribed circle: U[15.87771324027; 0]
Coordinates of the inscribed circle: I[21.68985662014; 5.81114337986]

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?

### 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.

### 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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