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 = 2.07108294825   b = 4.44109081565   c = 4.9

Area: T = 4.59881817698
Perimeter: p = 11.4121737639
Semiperimeter: s = 5.70658688195

Angle ∠ A = α = 25° = 0.4366332313 rad
Angle ∠ B = β = 65° = 1.13444640138 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 4.44109081565
Height: hb = 2.07108294825
Height: hc = 1.87768088856

Median: ma = 4.56600163312
Median: mb = 3.03662396248
Median: mc = 2.45

Inradius: r = 0.80658688195
Circumradius: R = 2.45

Vertex coordinates: A[4.9; 0] B[0; 0] C[0.87551703563; 1.87768088856]
Centroid: CG[1.92550567854; 0.62656029619]
Coordinates of the circumscribed circle: U[2.45; -0]
Coordinates of the inscribed circle: I[1.2654960663; 0.80658688195]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 155° = 0.4366332313 rad
∠ B' = β' = 115° = 1.13444640138 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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