# Right triangle calculator (a,p)

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 perimeter p.

### Right scalene triangle.

Sides: a = 43   b = 26.49435064935   c = 50.50664935065

Area: T = 569.611038961
Perimeter: p = 120
Semiperimeter: s = 60

Angle ∠ A = α = 58.3621612105° = 58°21'42″ = 1.0198602288 rad
Angle ∠ B = β = 31.6388387895° = 31°38'18″ = 0.55221940388 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 26.49435064935
Height: hb = 43
Height: hc = 22.55659269735

Median: ma = 34.12197286965
Median: mb = 44.99441826415
Median: mc = 25.25332467532

Vertex coordinates: A[50.50664935065; 0] B[0; 0] C[36.60991540242; 22.55659269735]
Centroid: CG[29.03985491769; 7.51986423245]
Coordinates of the circumscribed circle: U[25.25332467532; 0]
Coordinates of the inscribed circle: I[33.50664935065; 9.49435064935]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 121.6388387895° = 121°38'18″ = 1.0198602288 rad
∠ B' = β' = 148.3621612105° = 148°21'42″ = 0.55221940388 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus a and perimeter p ### 2. From cathetus a and perimeter p we calculate cathetus b: ### 3. From cathetus a we calculate hypotenuse c - 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. ### 4. The triangle circumference is the sum of the lengths of its three sides ### 5. Semiperimeter of the triangle ### 6. The triangle area - from two legs ### 7. Calculate the heights of the triangle from its area. ### 8. Calculation of the inner angles of the triangle - basic use of sine function   ### 11. 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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