# Right triangle calculator (A,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 α.

### Right scalene triangle.

Sides: a = 52   b = 289.0043849355   c = 293.6454725718

Area: T = 7514.110008323
Perimeter: p = 634.6498575073
Semiperimeter: s = 317.3244287537

Angle ∠ A = α = 10.2° = 10°12' = 0.17880235837 rad
Angle ∠ B = β = 79.8° = 79°48' = 1.39327727431 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 289.0043849355
Height: hb = 52
Height: hc = 51.17881716144

Median: ma = 290.1711027055
Median: mb = 153.5733455504
Median: mc = 146.8222362859

Vertex coordinates: A[293.6454725718; 0] B[0; 0] C[9.20884064966; 51.17881716144]
Centroid: CG[100.9511044072; 17.05993905381]
Coordinates of the circumscribed circle: U[146.8222362859; 0]
Coordinates of the inscribed circle: I[28.32204381815; 23.68795618185]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 169.8° = 169°48' = 0.17880235837 rad
∠ B' = β' = 100.2° = 100°12' = 1.39327727431 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

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

Calculate right triangle by: