# Right triangle calculator (B,c)

Please enter two properties of the right triangle

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

You have entered hypotenuse c and angle β.

### Right scalene triangle.

Sides: a = 76.60444443119   b = 64.27987609687   c = 100

Area: T = 2462.019938253
Perimeter: p = 240.8833205281
Semiperimeter: s = 120.442160264

Angle ∠ A = α = 50° = 0.8732664626 rad
Angle ∠ B = β = 40° = 0.69881317008 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 64.27987609687
Height: hb = 76.60444443119
Height: hc = 49.24403876506

Median: ma = 74.82552586614
Median: mb = 83.07333451009
Median: mc = 50

Inradius: r = 20.44216026403
Circumradius: R = 50

Vertex coordinates: A[100; 0] B[0; 0] C[58.68224088833; 49.24403876506]
Centroid: CG[52.89441362944; 16.41334625502]
Coordinates of the circumscribed circle: U[50; -0]
Coordinates of the inscribed circle: I[56.16328416716; 20.44216026403]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130° = 0.8732664626 rad
∠ B' = β' = 140° = 0.69881317008 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

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