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 cathetus a and hypotenuse c.

Right scalene triangle.

Sides: a = 1000   b = 2291.288784748   c = 2500

Area: T = 1145643.924374
Perimeter: p = 5791.288784748
Semiperimeter: s = 2895.644392374

Angle ∠ A = α = 23.57881784782° = 23°34'41″ = 0.41215168461 rad
Angle ∠ B = β = 66.42218215218° = 66°25'19″ = 1.15992794807 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 2291.288784748
Height: hb = 1000
Height: hc = 916.5155138991

Median: ma = 2345.208787991
Median: mb = 1520.691063257
Median: mc = 1250

Inradius: r = 395.6443923739
Circumradius: R = 1250

Vertex coordinates: A[2500; 0] B[0; 0] C[400; 916.5155138991]
Centroid: CG[966.6676666667; 305.505504633]
Coordinates of the circumscribed circle: U[1250; -0]
Coordinates of the inscribed circle: I[604.3566076261; 395.6443923739]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 156.4221821522° = 156°25'19″ = 0.41215168461 rad
∠ B' = β' = 113.5788178478° = 113°34'41″ = 1.15992794807 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus a and hypotenuse c 2. 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. 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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