# Right triangle calculator (B,b) - result

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 = 1351.683287848   b = 1175   c = 1790.997737688

Area: T = 794113.691111
Perimeter: p = 4317.688025536
Semiperimeter: s = 2158.844012768

Angle ∠ A = α = 49° = 0.85552113335 rad
Angle ∠ B = β = 41° = 0.71655849933 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 1175
Height: hb = 1351.683287848
Height: hc = 886.7843756762

Median: ma = 1355.502236112
Median: mb = 1473.839949397
Median: mc = 895.499868844

Inradius: r = 367.8432750803
Circumradius: R = 895.499868844

Vertex coordinates: A[1790.997737688; 0] B[0; 0] C[1020.128801782; 886.7843756762]
Centroid: CG[937.0421798232; 295.5954585587]
Coordinates of the circumscribed circle: U[895.499868844; -0]
Coordinates of the inscribed circle: I[983.8440127682; 367.8432750803]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 131° = 0.85552113335 rad
∠ B' = β' = 139° = 0.71655849933 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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