Right triangle calculator (B,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 β.

Right scalene triangle.

Sides: a = 412   b = 412   c = 582.6565987698

Area: T = 84872
Perimeter: p = 1406.65659877
Semiperimeter: s = 703.3287993849

Angle ∠ A = α = 45° = 0.78553981634 rad
Angle ∠ B = β = 45° = 0.78553981634 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 412
Height: hb = 412
Height: hc = 291.3287993849

Median: ma = 460.6330003365
Median: mb = 460.6330003365
Median: mc = 291.3287993849

Inradius: r = 120.6722006151
Circumradius: R = 291.3287993849

Vertex coordinates: A[582.6565987698; 0] B[0; 0] C[291.3287993849; 291.3287993849]
Centroid: CG[291.3287993849; 97.1099331283]
Coordinates of the circumscribed circle: U[291.3287993849; -0]
Coordinates of the inscribed circle: I[291.3287993849; 120.6722006151]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 135° = 0.78553981634 rad
∠ B' = β' = 135° = 0.78553981634 rad
∠ C' = γ' = 90° = 1.57107963268 rad

How did we calculate this triangle?

1. Input data entered: cathetus b and angle β 2. From angle β we calculate angle α: 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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