# Right triangle calculator (a,b)

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 cathetus b.

### Right scalene triangle.

Sides: a = 244   b = 246   c = 346.4855208919

Area: T = 30012
Perimeter: p = 836.4855208919
Semiperimeter: s = 418.243260446

Angle ∠ A = α = 44.76661409741° = 44°45'58″ = 0.78113165534 rad
Angle ∠ B = β = 45.23438590259° = 45°14'2″ = 0.78994797734 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 246
Height: hb = 244
Height: hc = 173.2376832208

Median: ma = 274.5910604355
Median: mb = 273.2498970721
Median: mc = 173.243260446

Inradius: r = 71.75773955402
Circumradius: R = 173.243260446

Vertex coordinates: A[346.4855208919; 0] B[0; 0] C[171.8288402677; 173.2376832208]
Centroid: CG[172.7711203866; 57.74656107359]
Coordinates of the circumscribed circle: U[173.243260446; -0]
Coordinates of the inscribed circle: I[172.243260446; 71.75773955402]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135.2343859026° = 135°14'2″ = 0.78113165534 rad
∠ B' = β' = 134.7666140974° = 134°45'58″ = 0.78994797734 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus a and cathetus b ### 2. From cathetus a and cathetus b 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. ### 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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