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 = 426.0439519005   b = 345   c = 548.2110426528

Area: T = 73491.81770283
Perimeter: p = 1319.254994553
Semiperimeter: s = 659.6254972766

Angle ∠ A = α = 51° = 0.89901179185 rad
Angle ∠ B = β = 39° = 0.68106784083 rad
Angle ∠ C = γ = 90° = 1.57107963268 rad

Height: ha = 345
Height: hb = 426.0439519005
Height: hc = 268.1155356703

Median: ma = 405.4665680346
Median: mb = 459.6376728029
Median: mc = 274.1055213264

Inradius: r = 111.4154546238
Circumradius: R = 274.1055213264

Vertex coordinates: A[548.2110426528; 0] B[0; 0] C[331.0954891615; 268.1155356703]
Centroid: CG[293.1021772714; 89.37217855676]
Coordinates of the circumscribed circle: U[274.1055213264; 0]
Coordinates of the inscribed circle: I[314.6254972766; 111.4154546238]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 129° = 0.89901179185 rad
∠ B' = β' = 141° = 0.68106784083 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.

Calculate right triangle by:

Look also our friend's collection of math examples and problems:

See more information about triangles or more details on solving triangles.