Right triangle calculator (A,a)

Please enter two properties of the right triangle

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

You have entered cathetus a and angle α.

Right scalene triangle.

Sides: a = 145   b = 261.5876924514   c = 299.0866474246

Area: T = 18965.05220273
Perimeter: p = 705.673339876
Semiperimeter: s = 352.837669938

Angle ∠ A = α = 29° = 0.50661454831 rad
Angle ∠ B = β = 61° = 1.06546508437 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 261.5876924514
Height: hb = 145
Height: hc = 126.8219857535

Median: ma = 271.4487912272
Median: mb = 195.2743986412
Median: mc = 149.5433237123

Inradius: r = 53.75502251342
Circumradius: R = 149.5433237123

Vertex coordinates: A[299.0866474246; 0] B[0; 0] C[70.29773949357; 126.8219857535]
Centroid: CG[123.1287956394; 42.27332858451]
Coordinates of the circumscribed circle: U[149.5433237123; -0]
Coordinates of the inscribed circle: I[91.25497748658; 53.75502251342]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 151° = 0.50661454831 rad
∠ B' = β' = 119° = 1.06546508437 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

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