Right triangle calculator (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 = 47.70992713321   b = 22.62200227444   c = 52.8

Area: T = 539.5922401325
Perimeter: p = 123.1299294077
Semiperimeter: s = 61.56546470383

Angle ∠ A = α = 64.63333333333° = 64°38' = 1.12880644732 rad
Angle ∠ B = β = 25.36766666667° = 25°22' = 0.44327318536 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 22.62200227444
Height: hb = 47.70992713321
Height: hc = 20.43991061108

Median: ma = 32.87441398628
Median: mb = 49.03215299403
Median: mc = 26.4

Inradius: r = 8.76546470383
Circumradius: R = 26.4

Vertex coordinates: A[52.8; 0] B[0; 0] C[43.10993668758; 20.43991061108]
Centroid: CG[31.97697889586; 6.81330353703]
Coordinates of the circumscribed circle: U[26.4; 0]
Coordinates of the inscribed circle: I[38.94546242939; 8.76546470383]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 115.3676666667° = 115°22' = 1.12880644732 rad
∠ B' = β' = 154.6333333333° = 154°38' = 0.44327318536 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   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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