# 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 = 1750   b = 1477   c = 2289.984449776

Area: T = 1292375
Perimeter: p = 5516.984449776
Semiperimeter: s = 2758.492224888

Angle ∠ A = α = 49.83656341958° = 49°50'8″ = 0.87697959015 rad
Angle ∠ B = β = 40.16443658042° = 40°9'52″ = 0.70110004253 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 1477
Height: hb = 1750
Height: hc = 1128.71994313

Median: ma = 1716.728770118
Median: mb = 1899.443261561
Median: mc = 1144.992224888

Inradius: r = 468.5087751118
Circumradius: R = 1144.992224888

Vertex coordinates: A[2289.984449776; 0] B[0; 0] C[1337.345529775; 1128.71994313]
Centroid: CG[1209.110993184; 376.2439810433]
Coordinates of the circumscribed circle: U[1144.992224888; 0]
Coordinates of the inscribed circle: I[1281.492224888; 468.5087751118]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 130.1644365804° = 130°9'52″ = 0.87697959015 rad
∠ B' = β' = 139.8365634196° = 139°50'8″ = 0.70110004253 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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