# 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 = 27.25216415365   b = 92   c = 95.95112999726

Area: T = 1253.576551068
Perimeter: p = 215.2032941509
Semiperimeter: s = 107.6011470755

Angle ∠ A = α = 16.5° = 16°30' = 0.28879793266 rad
Angle ∠ B = β = 73.5° = 73°30' = 1.28328170002 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 92
Height: hb = 27.25216415365
Height: hc = 26.12994117128

Median: ma = 93.00435644027
Median: mb = 53.46663629438
Median: mc = 47.97656499863

Inradius: r = 11.65501707819
Circumradius: R = 47.97656499863

Vertex coordinates: A[95.95112999726; 0] B[0; 0] C[7.74398843647; 26.12994117128]
Centroid: CG[34.56437281125; 8.71098039043]
Coordinates of the circumscribed circle: U[47.97656499863; -0]
Coordinates of the inscribed circle: I[15.60114707546; 11.65501707819]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 163.5° = 163°30' = 0.28879793266 rad
∠ B' = β' = 106.5° = 106°30' = 1.28328170002 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 ### 10. Inradius ### 11. Circumradius ### 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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