# 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 = 40   b = 44.42   c = 59.77657174779

Area: T = 888.4
Perimeter: p = 144.1965717478
Semiperimeter: s = 72.0987858739

Angle ∠ A = α = 42.0032886546° = 42°10″ = 0.73330886656 rad
Angle ∠ B = β = 47.9977113454° = 47°59'50″ = 0.83877076612 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 44.42
Height: hb = 40
Height: hc = 29.72444445565

Median: ma = 48.71548478392
Median: mb = 45.75224217938
Median: mc = 29.8887858739

Inradius: r = 12.3222141261
Circumradius: R = 29.8887858739

Vertex coordinates: A[59.77657174779; 0] B[0; 0] C[26.76767217979; 29.72444445565]
Centroid: CG[28.84774797586; 9.90881481855]
Coordinates of the circumscribed circle: U[29.8887858739; -0]
Coordinates of the inscribed circle: I[27.6787858739; 12.3222141261]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 137.9977113454° = 137°59'50″ = 0.73330886656 rad
∠ B' = β' = 132.0032886546° = 132°10″ = 0.83877076612 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 ### 8. Inradius ### 9. Circumradius ### 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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