Right triangle calculator (A,b)

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 angle α.

Right scalene triangle.

Sides: a = 18.51443329744   b = 105   c = 106.6219794248

Area: T = 972.0022481155
Perimeter: p = 230.1344127222
Semiperimeter: s = 115.0677063611

Angle ∠ A = α = 10° = 0.17545329252 rad
Angle ∠ B = β = 80° = 1.39662634016 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 105
Height: hb = 18.51443329744
Height: hc = 18.2333058655

Median: ma = 105.4077282155
Median: mb = 55.66989368094
Median: mc = 53.3109897124

Inradius: r = 8.44772693632
Circumradius: R = 53.3109897124

Vertex coordinates: A[106.6219794248; 0] B[0; 0] C[3.21549801817; 18.2333058655]
Centroid: CG[36.61215914766; 6.07876862183]
Coordinates of the circumscribed circle: U[53.3109897124; -0]
Coordinates of the inscribed circle: I[10.06770636112; 8.44772693632]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 170° = 0.17545329252 rad
∠ B' = β' = 100° = 1.39662634016 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

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