Right triangle calculator (B,h)

Please enter two properties of the right triangle

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

You have entered height h and angle β.

Right scalene triangle.

Sides: a = 13.06656296488   b = 5.41219610015   c = 14.14221356237

Area: T = 35.35553390593
Perimeter: p = 32.6219726274
Semiperimeter: s = 16.3109863137

Angle ∠ A = α = 67.5° = 67°30' = 1.17880972451 rad
Angle ∠ B = β = 22.5° = 22°30' = 0.39326990817 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 5.41219610015
Height: hb = 13.06656296488
Height: hc = 5

Median: ma = 8.48333361015
Median: mb = 13.3432901056
Median: mc = 7.07110678119

Inradius: r = 2.16877275132
Circumradius: R = 7.07110678119

Vertex coordinates: A[14.14221356237; 0] B[0; 0] C[12.07110678119; 5]
Centroid: CG[8.73877344785; 1.66766666667]
Coordinates of the circumscribed circle: U[7.07110678119; -0]
Coordinates of the inscribed circle: I[10.89879021355; 2.16877275132]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 112.5° = 112°30' = 1.17880972451 rad
∠ B' = β' = 157.5° = 157°30' = 0.39326990817 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

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