Right triangle calculator (R,b) - result

Please enter two properties of the right triangle

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

You have entered cathetus b and circumradius R.

Right scalene triangle.

Sides: a = 19.59659179423   b = 4   c = 20

Area: T = 39.19218358845
Perimeter: p = 43.59659179423
Semiperimeter: s = 21.79879589711

Angle ∠ A = α = 78.46330409672° = 78°27'47″ = 1.3699438406 rad
Angle ∠ B = β = 11.53769590328° = 11°32'13″ = 0.20113579208 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 4
Height: hb = 19.59659179423
Height: hc = 3.91991835885

Median: ma = 10.58330052443
Median: mb = 19.69877156036
Median: mc = 10

Inradius: r = 1.79879589711
Circumradius: R = 10

Vertex coordinates: A[20; 0] B[0; 0] C[19.2; 3.91991835885]
Centroid: CG[13.06766666667; 1.30663945295]
Coordinates of the circumscribed circle: U[10; -0]
Coordinates of the inscribed circle: I[17.79879589711; 1.79879589711]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 101.5376959033° = 101°32'13″ = 1.3699438406 rad
∠ B' = β' = 168.4633040967° = 168°27'47″ = 0.20113579208 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

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