# 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 = 3.5   b = 5.5   c = 6.51992024052

Area: T = 9.625
Perimeter: p = 15.51992024052
Semiperimeter: s = 7.76596012026

Angle ∠ A = α = 32.47111922908° = 32°28'16″ = 0.56767292175 rad
Angle ∠ B = β = 57.52988077092° = 57°31'44″ = 1.00440671093 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 5.5
Height: hb = 3.5
Height: hc = 2.95328152071

Median: ma = 5.77216981903
Median: mb = 4.45111234537
Median: mc = 3.26596012026

Inradius: r = 1.24403987974
Circumradius: R = 3.26596012026

Vertex coordinates: A[6.51992024052; 0] B[0; 0] C[1.87990642227; 2.95328152071]
Centroid: CG[2.79994222093; 0.98442717357]
Coordinates of the circumscribed circle: U[3.26596012026; 0]
Coordinates of the inscribed circle: I[2.26596012026; 1.24403987974]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 147.5298807709° = 147°31'44″ = 0.56767292175 rad
∠ B' = β' = 122.4711192291° = 122°28'16″ = 1.00440671093 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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