# 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 cathetus a and hypotenuse c.

### Right scalene triangle.

Sides: a = 39   b = 80   c = 89

Area: T = 1560
Perimeter: p = 208
Semiperimeter: s = 104

Angle ∠ A = α = 25.98992335838° = 25°59'21″ = 0.45435976961 rad
Angle ∠ B = β = 64.01107664162° = 64°39″ = 1.11771986307 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 80
Height: hb = 39
Height: hc = 35.05661797753

Median: ma = 82.34222734687
Median: mb = 55.86659108939
Median: mc = 44.5

Vertex coordinates: A[89; 0] B[0; 0] C[17.09898876404; 35.05661797753]
Centroid: CG[35.36332958801; 11.68553932584]
Coordinates of the circumscribed circle: U[44.5; 0]
Coordinates of the inscribed circle: I[24; 15]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 154.0110766416° = 154°39″ = 0.45435976961 rad
∠ B' = β' = 115.9899233584° = 115°59'21″ = 1.11771986307 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus a and hypotenuse c ### 2. 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. ### 3. The triangle circumference is the sum of the lengths of its three sides ### 4. Semiperimeter of the triangle ### 5. The triangle area - from two legs ### 6. Calculate the heights of the triangle from its area. ### 7. Calculation of the inner angles of the triangle - basic use of sine function   ### 10. 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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