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 hypotenuse c and angle α.

Right scalene triangle.

Sides: a = 3.77662317747   b = 13.16992852344   c = 13.7

Area: T = 24.8655136676
Perimeter: p = 30.6465517009
Semiperimeter: s = 15.32327585045

Angle ∠ A = α = 16° = 0.27992526803 rad
Angle ∠ B = β = 74° = 1.29215436465 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 13.16992852344
Height: hb = 3.77662317747
Height: hc = 3.632994696

Median: ma = 13.30439488569
Median: mb = 7.59106155753
Median: mc = 6.85

Inradius: r = 1.62327585045
Circumradius: R = 6.85

Vertex coordinates: A[13.7; 0] B[0; 0] C[1.04108705413; 3.632994696]
Centroid: CG[4.91436235138; 1.210998232]
Coordinates of the circumscribed circle: U[6.85; 0]
Coordinates of the inscribed circle: I[2.15334732702; 1.62327585045]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 164° = 0.27992526803 rad
∠ B' = β' = 106° = 1.29215436465 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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