# Right triangle calculator (A,c)

Please enter two properties of the right triangle

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

You have entered hypotenuse c and angle α.

### Right scalene triangle.

Sides: a = 197.5166106277   b = 929.2440220697   c = 950

Area: T = 91769.9555094
Perimeter: p = 2076.756632697
Semiperimeter: s = 1038.378816349

Angle ∠ A = α = 12° = 0.20994395102 rad
Angle ∠ B = β = 78° = 1.36113568166 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 929.2440220697
Height: hb = 197.5166106277
Height: hc = 193.2199905461

Median: ma = 934.473340295
Median: mb = 504.8610831496
Median: mc = 475

Inradius: r = 88.3788163487
Circumradius: R = 475

Vertex coordinates: A[950; 0] B[0; 0] C[41.06659076198; 193.2199905461]
Centroid: CG[330.355530254; 64.4399968487]
Coordinates of the circumscribed circle: U[475; 0]
Coordinates of the inscribed circle: I[109.138794279; 88.3788163487]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 168° = 0.20994395102 rad
∠ B' = β' = 102° = 1.36113568166 rad
∠ C' = γ' = 90° = 1.57107963268 rad

# How did we calculate this triangle?

### 1. Input data entered: hypotenuse c and angle α ### 2. From angle α we calculate angle β: ### 3. From hypotenuse c and angle α we calculate cathetus a: ### 4. From cathetus a and hypotenuse c we calculate cathetus b - 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. ### 5. The triangle circumference is the sum of the lengths of its three sides ### 6. Semiperimeter of the triangle ### 7. The triangle area - from two legs ### 8. Calculate the heights of the triangle from its area. ### 9. Calculation of the inner angles of the triangle - basic use of sine function ### 10. Inradius ### 11. Circumradius ### 12. 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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