# Right triangle calculator (A,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 α.

### Right scalene triangle.

Sides: a = 13.40656277746   b = 109.188007668   c = 110

Area: T = 731.8143734189
Perimeter: p = 232.5865704455
Semiperimeter: s = 116.2932852228

Angle ∠ A = α = 7° = 0.12221730476 rad
Angle ∠ B = β = 83° = 1.44986232792 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 109.188007668
Height: hb = 13.40656277746
Height: hc = 13.3065704258

Median: ma = 109.3865633691
Median: mb = 56.2121948392
Median: mc = 55

Vertex coordinates: A[110; 0] B[0; 0] C[1.63437350548; 13.3065704258]
Centroid: CG[37.21112450183; 4.43552347527]
Coordinates of the circumscribed circle: U[55; 0]
Coordinates of the inscribed circle: I[7.1132775547; 6.29328522276]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 173° = 0.12221730476 rad
∠ B' = β' = 97° = 1.44986232792 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

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