Right triangle calculator (A,a)

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 angle α.

Right scalene triangle.

Sides: a = 15000   b = 16659.18877224   c = 22417.1488248

Area: T = 124943907.918
Perimeter: p = 54076.33659704
Semiperimeter: s = 27038.16879852

Angle ∠ A = α = 42° = 0.73330382858 rad
Angle ∠ B = β = 48° = 0.8387758041 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 16659.18877224
Height: hb = 15000
Height: hc = 11147.17223822

Median: ma = 18269.60768806
Median: mb = 17157.56878315
Median: mc = 11208.5744124

Inradius: r = 4621.021973723
Circumradius: R = 11208.5744124

Vertex coordinates: A[22417.1488248; 0] B[0; 0] C[10036.95990954; 11147.17223822]
Centroid: CG[10818.03657811; 3715.724412739]
Coordinates of the circumscribed circle: U[11208.5744124; -0]
Coordinates of the inscribed circle: I[10378.98802628; 4621.021973723]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 138° = 0.73330382858 rad
∠ B' = β' = 132° = 0.8387758041 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus a and angle α 2. From angle α we calculate angle β: 3. From cathetus a and angle α we calculate hypotenuse c: 4. From side a and side c we calculate side 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   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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