# Right triangle calculator (b,v)

Please enter two properties of the right triangle

Use symbols: a, b, c, A, B, h, T, p, r, R

You have entered cathetus b and height h.

### Right scalene triangle.

Sides: a = 11.54397349427   b = 17.3   c = 20.79655640113

Area: T = 99.81987072541
Perimeter: p = 49.6355298954
Semiperimeter: s = 24.8187649477

Angle ∠ A = α = 33.70547429507° = 33°42'17″ = 0.5888258738 rad
Angle ∠ B = β = 56.29552570493° = 56°17'43″ = 0.98325375888 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 17.3
Height: hb = 11.54397349427
Height: hc = 9.6

Median: ma = 18.23768136098
Median: mb = 14.42217884656
Median: mc = 10.39877820056

Inradius: r = 4.02220854657
Circumradius: R = 10.39877820056

Vertex coordinates: A[20.79655640113; 0] B[0; 0] C[6.40435523381; 9.6]
Centroid: CG[9.06663721165; 3.2]
Coordinates of the circumscribed circle: U[10.39877820056; -0]
Coordinates of the inscribed circle: I[7.5187649477; 4.02220854657]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 146.2955257049° = 146°17'43″ = 0.5888258738 rad
∠ B' = β' = 123.7054742951° = 123°42'17″ = 0.98325375888 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: cathetus b and height h ### 2. From height h and cathetus b we calculate hypotenuse c - Euclid's theorem: ### 3. From cathetus b and hypotenuse c we calculate cathetus a - 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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